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Journal articles on the topic 'Modal fibration'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

ANDREAS, BJÖRN, GOTTFRIED CURIO, and ALBRECHT KLEMM. "TOWARDS THE STANDARD MODEL SPECTRUM FROM ELLIPTIC CALABI–YAU MANIFOLDS." International Journal of Modern Physics A 19, no. 12 (2004): 1987–2014. http://dx.doi.org/10.1142/s0217751x04018087.

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We show that it is possible to construct supersymmetric three-generation models with the Standard Model gauge group in the framework of non-simply-connected elliptically fibered Calabi–Yau threefolds, without section but with a bi-section. The fibrations on a cover Calabi–Yau threefold, where the model has six generations of SU(5) and the bundle is given via the spectral cover description, use a different description of the elliptic fiber which leads to more than one global section. We present two examples of a possible cover Calabi–Yau threefold with a free involution: one is a fiber product

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2

BERGLUND, P., J. ELLIS, A. E. FARAGGI, D. V. NANOPOULOS, and Z. QIU. "ON ELEVATING FREE-FERMION Z2×Z2 ORBIFOLDS MODELS TO COMPACTIFICATIONS OF F THEORY." International Journal of Modern Physics A 15, no. 09 (2000): 1345–62. http://dx.doi.org/10.1142/s0217751x00000598.

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We study the elliptic fibrations of some Calabi–Yau threefolds, including the Z2×Z2 orbifold with (h1,1,h2,1)=(27, 3), which is equivalent to the common framework of realistic free-fermion models, as well as related orbifold models with (h1,1,h2,1)=(51, 3) and (31, 7). However, two related puzzles arise when one considers the (h1,1,h2,1)=(27, 3) model as an F theory compactification to six dimensions. The condition for the vanishing of the gravitational anomaly is not satisfied, suggesting that the F theory compactification does not make sense, and the elliptic fibration is well defined everyw

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3

DUBOULOZ, ADRIEN, and TAKASHI KISHIMOTO. "FAMILIES OF AFFINE RULED SURFACES: EXISTENCE OF CYLINDERS." Nagoya Mathematical Journal 223, no. 1 (2016): 1–20. http://dx.doi.org/10.1017/nmj.2016.22.

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We show that the generic fiber of a family $f:X\rightarrow S$ of smooth $\mathbb{A}^{1}$-ruled affine surfaces always carries an $\mathbb{A}^{1}$-fibration, possibly after a finite extension of the base $S$. In the particular case where the general fibers of the family are irrational surfaces, we establish that up to shrinking $S$, such a family actually factors through an $\mathbb{A}^{1}$-fibration $\unicode[STIX]{x1D70C}:X\rightarrow Y$ over a certain $S$-scheme $Y\rightarrow S$ induced by the MRC-fibration of a relative smooth projective model of $X$ over $S$. For affine threefolds $X$ equi

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4

Berikashvili, N., and M. Mikiashvili. "The Predifferential of a Path Fibration." gmj 11, no. 3 (2004): 415–24. http://dx.doi.org/10.1515/gmj.2004.415.

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Abstract For a simply connected space 𝐵 the Hirsch model of path fibration is constructed in terms of 𝐵. In particular this means the calculation of loop space cohomology. As an application, the Hirsch model of the fiber of any fibration over 𝐵 is given.

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5

Berikashvili, N. "An Algebraic Model of Fibration with the Fiber K(π, n)-Space". gmj 3, № 1 (1996): 27–48. http://dx.doi.org/10.1515/gmj.1996.27.

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Abstract For a fibration with the fiber K(π, n)-space, the algebraic model as a twisted tensor product of chains of the base with standard chains of K(π, n)-complex is given which preserves multiplicative structure as well. In terms of this model the action of the n-cohomology of the base with coefficients in π on the homology of fibration is described.

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6

Thompson, Alan. "Explicit Models for Threefolds Fibred by K3 Surfaces of Degree Two." Canadian Journal of Mathematics 65, no. 4 (2013): 905–26. http://dx.doi.org/10.4153/cjm-2012-037-2.

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AbstractWe consider threefolds that admit a fibration by K3 surfaces over a nonsingular curve, equipped with a divisorial sheaf that defines a polarization of degree two on the general fibre. Under certain assumptions on the threefold we show that its relative log canonical model exists and can be explicitly reconstructed from a small set of data determined by the original fibration. Finally, we prove a converse to this statement: under certain assumptions, any such set of data determines a threefold that arises as the relative log canonical model of a threefold admitting a fibration by K3 sur

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7

Kadeishvili, Tornike, and Samson Saneblidze. "A cubical model for a fibration." Journal of Pure and Applied Algebra 196, no. 2-3 (2005): 203–28. http://dx.doi.org/10.1016/j.jpaa.2004.08.017.

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8

Banach, Richard, Farhad Arbab, George Papadopoulos, and John R. W. Glauert. "A Multiply Hierarchical Automaton Semantics for the IWIM Coordination Model." JUCS - Journal of Universal Computer Science 9, no. (1) (2003): 2–33. https://doi.org/10.3217/jucs-009-01-0002.

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The drawbacks of programming coordination activities directly within the applications software that needs them are briefly reviewed. Coordination programming helps to separate concerns, making complex coordination protocols into standalone entities, permitting separate development, verification, maintenance, and reuse. The IWIM coordination model is described, and a formal automata theoretic version of the model is developed, capturing the essentials of the framework in a fibration based approach. Specifically, families of worker automata have their communication governed by a state of a manag

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9

Myers, David Jaz. "Good Fibrations through the Modal Prism." Higher Structures 6, no. 1 (2022): 212–55. http://dx.doi.org/10.21136/hs.2022.04.

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10

de Paiva, Valeria, and Eike Ritter. "Fibrational Modal Type Theory." Electronic Notes in Theoretical Computer Science 323 (July 2016): 143–61. http://dx.doi.org/10.1016/j.entcs.2016.06.010.

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11

Rivera, Manuel, and Samson Saneblidze. "A combinatorial model for the path fibration." Journal of Homotopy and Related Structures 14, no. 2 (2018): 393–410. http://dx.doi.org/10.1007/s40062-018-0216-4.

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12

der Linden, Tim Van. "Simplicial homotopy in semi-abelian categories." Journal of K-Theory 4, no. 2 (2008): 379–90. http://dx.doi.org/10.1017/is008008022jkt070.

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AbstractWe study Quillen's model category structure for homotopy of simplicial objects in the context of Janelidze, Márki and Tholen's semi-abelian categories. This model structure exists as soon as is regular Mal'tsev and has enough regular projectives; then the fibrations are the Kan fibrations of S. When, moreover, is semi-abelian, weak equivalences and homology isomorphisms coincide.

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13

Rivera, Manuel, and Samson Saneblidze. "A combinatorial model for the free loop fibration." Bulletin of the London Mathematical Society 50, no. 6 (2018): 1085–101. http://dx.doi.org/10.1112/blms.12202.

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14

Moser, Lyne, and Maru Sarazola. "A model structure for Grothendieck fibrations." Journal of Pure and Applied Algebra 228, no. 10 (2024): 107692. http://dx.doi.org/10.1016/j.jpaa.2024.107692.

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15

Berikashvili, Nodar. "A Local System of Spaces and a Bigraded Model of Fibration." gmj 13, no. 4 (2006): 649–58. http://dx.doi.org/10.1515/gmj.2006.649.

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16

Nadler, David. "Springer theory via the Hitchin fibration." Compositio Mathematica 147, no. 5 (2011): 1635–70. http://dx.doi.org/10.1112/s0010437x1100546x.

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AbstractWe develop the Springer theory of Weyl group representations in the language of symplectic topology. Given a semisimple complex group G, we describe a Lagrangian brane in the cotangent bundle of the adjoint quotient 𝔤/G that produces the perverse sheaves of Springer theory. The main technical tool is an analysis of the Fourier transform for constructible sheaves from the perspective of the Fukaya category. Our results can be viewed as a toy model of the quantization of Hitchin fibers in the geometric Langlands program.

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17

Saneblidze, Samson. "The bitwisted Cartesian model for the free loop fibration." Topology and its Applications 156, no. 5 (2009): 897–910. http://dx.doi.org/10.1016/j.topol.2008.11.002.

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18

Saneblidze, Samson. "Filtered model of a fibration and rational obstruction theory." Manuscripta Mathematica 76, no. 1 (1992): 111–36. http://dx.doi.org/10.1007/bf02567750.

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19

CURIO, GOTTFRIED. "STANDARD MODEL BUNDLES OF THE HETEROTIC STRING." International Journal of Modern Physics A 21, no. 06 (2006): 1261–81. http://dx.doi.org/10.1142/s0217751x06025109.

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We show how to construct supersymmetric three-generation models with gauge group and matter content of the Standard Model in the framework of non-simply-connected elliptically fibered Calabi–Yau manifolds Z. The elliptic fibration on a cover Calabi–Yau, where the model has six generations of SU(5) and the bundle is given via the spectral cover description, has a second section leading to the needed free involution. The relevant involution on the defining spectral data of the bundle is identified for a general Calabi–Yau of this type and invariant bundles are generally constructible.

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20

Carter, Brandon, and David Langlois. "Kalb-Ramond coupled vortex fibration model for relativistic superfluid dynamics." Nuclear Physics B 454, no. 1-2 (1995): 402–24. http://dx.doi.org/10.1016/0550-3213(95)00425-r.

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21

Anick, David J. "The Adams-Hilton model for a fibration over a sphere." Journal of Pure and Applied Algebra 75, no. 1 (1991): 1–35. http://dx.doi.org/10.1016/0022-4049(91)90085-g.

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22

Moosa, Rahim, and Anand Pillay. "Some model theory of fibrations and algebraic reductions." Selecta Mathematica 20, no. 4 (2014): 1067–82. http://dx.doi.org/10.1007/s00029-014-0150-1.

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23

JOHNSON, MICHAEL, ROBERT ROSEBRUGH, and R. J. WOOD. "Lenses, fibrations and universal translations." Mathematical Structures in Computer Science 22, no. 1 (2011): 25–42. http://dx.doi.org/10.1017/s0960129511000442.

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This paper extends the ‘lens’ concept for view updating in Computer Science beyond the categories of sets and ordered sets. It is first shown that a constant complement view updating strategy also corresponds to a lens for a categorical database model. A variation on the lens concept called a c-lens is introduced, and shown to correspond to the categorical notion of Grothendieck opfibration. This variant guarantees a universal solution to the view update problem for functorial update processes.

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24

Hacking, Paul, and Yuri Prokhorov. "Smoothable del Pezzo surfaces with quotient singularities." Compositio Mathematica 146, no. 1 (2009): 169–92. http://dx.doi.org/10.1112/s0010437x09004370.

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AbstractWe classify del Pezzo surfaces with quotient singularities and Picard rank one which admit a ℚ-Gorenstein smoothing. These surfaces arise as singular fibres of del Pezzo fibrations in the 3-fold minimal model program and also in moduli problems.

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25

Berikashvili, N. "An algebraic model of fibration with the fiberK(π,n)-space". Georgian Mathematical Journal 3, № 1 (1996): 27–48. http://dx.doi.org/10.1007/bf02256796.

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26

MARCOLLI, MATILDE, and JESSICA SU. "ARITHMETIC OF POTTS MODEL HYPERSURFACES." International Journal of Geometric Methods in Modern Physics 10, no. 04 (2013): 1350005. http://dx.doi.org/10.1142/s0219887813500059.

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We consider Potts model hypersurfaces defined by the multivariate Tutte polynomial of graphs (Potts model partition function). We focus on the behavior of the number of points over finite fields for these hypersurfaces, in comparison with the graph hypersurfaces of perturbative quantum field theory defined by the Kirchhoff graph polynomial. We give a very simple example of the failure of the "fibration condition" in the dependence of the Grothendieck class on the number of spin states and of the polynomial countability condition for these Potts model hypersurfaces. We then show that a period c

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27

Moss, Sean. "Another approach to the Kan–Quillen model structure." Journal of Homotopy and Related Structures 15, no. 1 (2019): 143–65. http://dx.doi.org/10.1007/s40062-019-00247-y.

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Abstract By careful analysis of the embedding of a simplicial set into its image under Kan’s $$\mathop {\mathop {\mathsf {Ex}}^\infty }$$Ex∞ functor we obtain a new and combinatorial proof that it is a weak homotopy equivalence. Moreover, we obtain a presentation of it as a strong anodyne extension. From this description we can quickly deduce some basic facts about $$\mathop {\mathop {\mathsf {Ex}}^\infty }$$Ex∞ and hence provide a new construction of the Kan–Quillen model structure on simplicial sets, one which avoids the use of topological spaces or minimal fibrations.

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28

AHN, CHANGHYUN. "MIRROR SYMMETRY OF CALABI–YAU SUPERMANIFOLDS." Modern Physics Letters A 20, no. 06 (2005): 407–18. http://dx.doi.org/10.1142/s0217732305016683.

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We study super Landau–Ginzburg mirrors of the weighted projective superspace WCP3|2 which is a Calabi–Yau supermanifold and appeared in hep-th/0312171 in the topological B-model. One of them is an elliptic fibration over the complex plane whose coordinate is given in terms of two bosonic and two fermionic variables as well as Kähler parameter of WCP3|2. The other is some patch of a degree-3 Calabi–Yau hypersurface in CP2 fibered by the complex plane whose coordinate depends on both the above four variables and Kähler parameter but its dependence behaves quite differently.

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29

Chan, Wai Kin, Reynaldo Castillo, and King Fai Lai. "Foliations in supergravity." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 41, no. 2 (1999): 161–66. http://dx.doi.org/10.1017/s0334270000011139.

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AbstractFollowing upon a previous paper [1] on the existence of chiral transformations in a foliated version of the Cremmer, Julia and Scherk model, we deduce a couple of interesting properties of the model. These are:(i) TM4 is isomorphic to a quotient Lie pseudoalgebra on the algebra of basic functions in M11;(ii) There is a locally trivial fibration which exhibits M11 as M7 × U, U ⊂ W and W is the basic manifold of the foliation [5](iii) The chiral group of the model is identified as Clx (L, gL) × Clx (Q, gQ), the factors are respectively the multiplication groups of units in the Clifford a

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30

AHMADINEZHAD, HAMID. "ON CONJUGACY CLASSES OF THE KLEIN SIMPLE GROUP IN CREMONA GROUP." Glasgow Mathematical Journal 59, no. 2 (2016): 395–400. http://dx.doi.org/10.1017/s0017089516000239.

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AbstractWe consider countably many three-dimensional PSL2($\mathbb{F}$7)-del Pezzo surface fibrations over ℙ1. Conjecturally, they are all irrational except two families, one of which is the product of a del Pezzo surface with ℙ1. We show that the other model is PSL2($\mathbb{F}$7)-equivariantly birational to ℙ2×ℙ1. Based on a result of Prokhorov, we show that they are non-conjugate as subgroups of the Cremona group Cr3(ℂ).

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31

Kammar, Ohad, Shin-ya Katsumata та Philip Saville. "Fully abstract models for effectful λ-calculi via category-theoretic logical relations". Proceedings of the ACM on Programming Languages 6, POPL (2022): 1–28. http://dx.doi.org/10.1145/3498705.

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We present a construction which, under suitable assumptions, takes a model of Moggi’s computational λ-calculus with sum types, effect operations and primitives, and yields a model that is adequate and fully abstract. The construction, which uses the theory of fibrations, categorical glueing, ⊤⊤-lifting, and ⊤⊤-closure, takes inspiration from O’Hearn & Riecke’s fully abstract model for PCF. Our construction can be applied in the category of sets and functions, as well as the category of diffeological spaces and smooth maps and the category of quasi-Borel spaces, which have been studied as s

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32

Bode, B., M. R. Dennis, D. Foster, and R. P. King. "Knotted fields and explicit fibrations for lemniscate knots." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2202 (2017): 20160829. http://dx.doi.org/10.1098/rspa.2016.0829.

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We give an explicit construction of complex maps whose nodal lines have the form of lemniscate knots. We review the properties of lemniscate knots, defined as closures of braids where all strands follow the same transverse (1, ℓ) Lissajous figure, and are therefore a subfamily of spiral knots generalizing the torus knots. We then prove that such maps exist and are in fact fibrations with appropriate choices of parameters. We describe how this may be useful in physics for creating knotted fields, in quantum mechanics, optics and generalizing to rational maps with application to the Skyrme–Fadde

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33

Alekseevsky, Dmitri. "Microsaccades, Drifts, Hopf Bundle and Neurogeometry." Journal of Imaging 8, no. 3 (2022): 76. http://dx.doi.org/10.3390/jimaging8030076.

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The first part of the paper contains a short review of the image processing in early vision is static, when the eyes and the stimulus are stable, and in dynamics, when the eyes participate in fixation eye movements. In the second part, we give an interpretation of Donders’ and Listing’s law in terms of the Hopf fibration of the 3-sphere over the 2-sphere. In particular, it is shown that the configuration space of the eye ball (when the head is fixed) is the 2-dimensional hemisphere SL+, called Listing hemisphere, and saccades are described as geodesic segments of SL+ with respect to the standa

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34

MOLERO, F. J., J. C. VAN DER MEER, S. FERRER, and F. J. CÉSPEDES. "THE 2-D SEXTIC HAMILTONIAN OSCILLATOR." International Journal of Bifurcation and Chaos 23, no. 06 (2013): 1330019. http://dx.doi.org/10.1142/s021812741330019x.

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The 2-D sextic oscillator is studied as a family of axial symmetric parametric integrable Hamiltonian systems, presenting a bifurcation analysis of the different flows. It includes the "elliptic core" model in 1-D nonlinear oscillators, recently proposed in the literature. We make use of the energy-momentum mapping, which will give us the fundamental fibration of the four-dimensional phase space. Special attention is given to the singular values of the energy-momentum mapping connected with rectilinear and circular orbits. They are related to the saddle-center and pitchfork scenarios with the

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35

LAAMARA, RACHID AHL, ADIL BELHAJ, LUIS J. BOYA, and ANTONIO SEGUI. "ON LOCAL F-THEORY GEOMETRIES AND INTERSECTING D7-BRANES." International Journal of Geometric Methods in Modern Physics 06, no. 07 (2009): 1207–20. http://dx.doi.org/10.1142/s0219887809004181.

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We discuss local F-theory geometries and their gauge theory dualities in terms of intersecting D7-branes wrapped four-cycles in Type IIB superstring. The manifolds are built as elliptic K3 surface fibrations over intersecting F0 = CP1 × CP1 base geometry according to ADE Dynkin Diagrams. The base is obtained by blowing up the extended ADE hyper-Kähler singularities of eight-dimensional manifolds considered as sigma model target spaces with eight supercharges. The resulting gauge theory of such local F-theory models are given in terms of Type IIB D7-branes wrapped intersecting F0. The four-dime

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36

Saneblidze, Samson. "On the construction of a covering map." Georgian Mathematical Journal 26, no. 2 (2019): 303–9. http://dx.doi.org/10.1515/gmj-2019-2016.

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Abstract Let {Y=\lvert X\rvert} be the geometric realization of a path-connected simplicial set X, and let {G=\pi_{1}(X)} be the fundamental group. Given a subgroup {H\subset G} , let {G/H} be the set of cosets. Using the combinatorial model {\boldsymbol{\Omega}X\to\mathbf{P}X\to X} of the path fibration {{\Omega}Y\to{P}Y\to Y} and a canonical action {\mu\colon\boldsymbol{\Omega}X\times G/H\to G/H} , we construct a covering map {G/H\to Y_{H}\to Y} as the geometric realization of the associated short sequence {G/H\to\mathbf{P}X\times_{\mu}G/H\to X} . This construction, in particular, does not u

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37

Xu, Yuanping, Paul J. Scott, and Jiaoling Zheng. "Novel Research on a Fibration Knowledge-Based Solution for Engineered Surface Tolerances within the Modern GPS Context." International Journal of Software Engineering and Knowledge Engineering 26, no. 05 (2016): 845–95. http://dx.doi.org/10.1142/s0218194016500297.

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Geometrical product specification and verification (GPS) is the only worldwide tolerancing specification language available for unambiguously communicating functional requirements and precisely expressing geometrical tolerances of workpieces on technical drawings. Although the understanding and application of GPS are of vital importance for modern manufacturing industry, the latest GPS standards contain huge amounts of data, information and knowledge that are obscurely linked together, so they are very difficult for designers, engineers and metrologists to understand, remember and comprehensiv

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38

Yamaguchi, Toshihiro. "On a DGL-map between derivations of Sullivan minimal models." Arabian Journal of Mathematics 9, no. 3 (2020): 739–54. http://dx.doi.org/10.1007/s40065-020-00291-0.

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Abstract For a map $$f:X\rightarrow Y$$ f : X → Y , there is the relative model $$M(Y)=(\Lambda V,d)\rightarrow (\Lambda V\otimes \Lambda W,D)\simeq M(X)$$ M ( Y ) = ( Λ V , d ) → ( Λ V ⊗ Λ W , D ) ≃ M ( X ) by Sullivan model theory (Félix et al., Rational homotopy theory, graduate texts in mathematics, Springer, Berlin, 2007). Let $$\mathrm{Baut}_1X$$ Baut 1 X be the Dold–Lashof classifying space of orientable fibrations with fiber X (Dold and Lashof, Ill J Math 3:285–305, 1959]). Its DGL (differential graded Lie algebra)-model is given by the derivations $$\mathrm{Der}M(X)$$ Der M ( X ) of t

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39

Bourqui, David, and Julien Sebag. "The minimal formal models of curve singularities." International Journal of Mathematics 28, no. 11 (2017): 1750081. http://dx.doi.org/10.1142/s0129167x17500811.

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Let [Formula: see text] be a field. We introduce a new geometric invariant, namely the minimal formal models, associated with every curve singularity (defined over [Formula: see text]). This is a noetherian affine adic formal [Formula: see text]-scheme, defined by using the formal neighborhood in the associated arc scheme of a primitive [Formula: see text]-parametrization. For the plane curve [Formula: see text]-singularity, we show that this invariant is [Formula: see text]. We also obtain information on the minimal formal model of the so-called generalized cusp. We introduce various question

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40

AWODEY, STEVE. "Natural models of homotopy type theory." Mathematical Structures in Computer Science 28, no. 2 (2016): 241–86. http://dx.doi.org/10.1017/s0960129516000268.

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The notion of a natural model of type theory is defined in terms of that of a representable natural transfomation of presheaves. It is shown that such models agree exactly with the concept of a category with families in the sense of Dybjer, which can be regarded as an algebraic formulation of type theory. We determine conditions for such models to satisfy the inference rules for dependent sums Σ, dependent products Π and intensional identity types Id, as used in homotopy type theory. It is then shown that a category admits such a model if it has a class of maps that behave like the abstract fi

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KhudaBukhsh, Wasiur R., Arnab Auddy, Yann Disser, and Heinz Koeppl. "Approximate lumpability for Markovian agent-based models using local symmetries." Journal of Applied Probability 56, no. 3 (2019): 647–71. http://dx.doi.org/10.1017/jpr.2019.44.

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AbstractWe study a Markovian agent-based model (MABM) in this paper. Each agent is endowed with a local state that changes over time as the agent interacts with its neighbours. The neighbourhood structure is given by a graph. Recently, Simon, Taylor, and Kiss [40] used the automorphisms of the underlying graph to generate a lumpable partition of the joint state space, ensuring Markovianness of the lumped process for binary dynamics. However, many large random graphs tend to become asymmetric, rendering the automorphism-based lumping approach ineffective as a tool of model reduction. In order t

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42

Karozas, A., G. K. Leontaris, and I. Tavellaris. "SU(5) × U(1)′ Models with a Vector-like Fermion Family." Universe 7, no. 10 (2021): 356. http://dx.doi.org/10.3390/universe7100356.

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Motivated by experimental measurements indicating deviations from the Standard Model predictions, we discuss F-theory-inspired models, which, in addition to the three chiral generations, contain a vector-like complete fermion family. The analysis takes place in the context of SU(5)×U(1)′ GUT embedded in an E8 covering group, which is associated with the (highest) geometric singularity of the elliptic fibration. In this context, the U(1)′ is a linear combination of four abelian factors subjected to the appropriate anomaly cancellation conditions. Furthermore, we require universal U(1)′ charges

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MITAN, Carmen-Irena, Emerich BARTHA та Petru FILIP. "DISTANCES lHnHn+1[A0] CALCULATED FROM 3-SPHERE DIHEDRAL ANGLES θHnHn+1[deg]". Revue Roumaine de Chimie 69, № 10-12 (2024): 579–84. https://doi.org/10.33224/rrch.2024.69.10-12.07.

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Dihedral angles θHnHn+1[deg] calculated from NMR data with 3-Sphere approach, a method under Hopf fibration and Lie group theories, are angles in close relationship with vicinal angles ϕ[deg], angles result from vicinal coupling constant 3 JHnHn+1[Hz]. The signs of dihedral angles calculated with algebraic equations are demonstrated with A2 root system Lie group. In attempt to find the best model for visualization of the phase angle of the pseudorotation P[deg] the proton-proton distances lHH[A0 ] between two atoms of carbon consecutives are calculated from 3-Sphere dihedral angles θHnHn+1[deg

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HALIMI, BRICE. "LOGICAL CONTEXTUALITY IN FREGE." Review of Symbolic Logic 11, no. 1 (2018): 1–20. http://dx.doi.org/10.1017/s1755020316000320.

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AbstractLogical universalism, a label that has been pinned on to Frege, involves the conflation of two features commonly ascribed to logic: universality and radicality. Logical universality consists in logic being about absolutely everything. Logical radicality, on the other hand, corresponds to there being the one and the same logic that any reasoning must comply with. The first part of this paper quickly remarks that Frege’s conception of logic makes logical universality prevail and does not preclude the admission of different contexts of discourse. The paper then aims to make it clear how F

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DA ROCHA, ROLDÃO, and J. M. HOFF DA SILVA. "ELKO SPINOR FIELDS: LAGRANGIANS FOR GRAVITY DERIVED FROM SUPERGRAVITY." International Journal of Geometric Methods in Modern Physics 06, no. 03 (2009): 461–77. http://dx.doi.org/10.1142/s0219887809003618.

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Dual-helicity eigenspinors of the charge conjugation operator (ELKO spinor fields) belong — together with Majorana spinor fields — to a wider class of spinor fields, the so-called flagpole spinor fields, corresponding to the class-(5), according to Lounesto spinor field classification based on the relations and values taken by their associated bilinear covariants. There exists only six such disjoint classes: the first three corresponding to Dirac spinor fields, and the other three respectively corresponding to flagpole, flag-dipole and Weyl spinor fields. Using the mapping from ELKO spinor fie

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Zafiris, Elias, and Albrecht von Müller. "Electron Beams on the Brillouin Zone: A Cohomological Approach via Sheaves of Fourier Algebras." Universe 9, no. 9 (2023): 392. http://dx.doi.org/10.3390/universe9090392.

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Topological states of matter can be classified only in terms of global topological invariants. These global topological invariants are encoded in terms of global observable topological phase factors in the state vectors of electrons. In condensed matter, the energy spectrum of the Hamiltonian operator has a band structure, meaning that it is piecewise continuous. The energy in each continuous piece depends on the quasi-momentum which varies in the Brillouin zone. Thus, the Brillouin zone of quasi-momentum variables constitutes the base localization space of the energy eigenstates of electrons.

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Mahadevan, Sridhar. "Universal Causality." Entropy 25, no. 4 (2023): 574. http://dx.doi.org/10.3390/e25040574.

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Universal Causality is a mathematical framework based on higher-order category theory, which generalizes previous approaches based on directed graphs and regular categories. We present a hierarchical framework called UCLA (Universal Causality Layered Architecture), where at the top-most level, causal interventions are modeled as a higher-order category over simplicial sets and objects. Simplicial sets are contravariant functors from the category of ordinal numbers Δ into sets, and whose morphisms are order-preserving injections and surjections over finite ordered sets. Non-random interventions

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Berglund, Alexander. "Characteristic classes for families of bundles." Selecta Mathematica 28, no. 3 (2022). http://dx.doi.org/10.1007/s00029-022-00764-4.

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AbstractThe generalized Miller–Morita–Mumford classes of a manifold bundle with fiber M depend only on the underlying $$\tau _M$$ τ M -fibration, meaning the family of vector bundles formed by the tangent bundles of the fibers. This motivates a closer study of the classifying space for $$\tau _M$$ τ M -fibrations, $$Baut(\tau _M)$$ B a u t ( τ M ) , and its cohomology ring, i.e., the ring of characteristic classes of $$\tau _M$$ τ M -fibrations. For a bundle $$\xi $$ ξ over a simply connected Poincaré duality space, we construct a relative Sullivan model for the universal $$\xi $$ ξ -fibration

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ABBAN, HAMID, and IGOR KRYLOV. "BIRATIONAL RIGIDITY OF ORBIFOLD DEGREE 2 DEL PEZZO FIBRATIONS." Nagoya Mathematical Journal, June 2, 2022, 1–34. http://dx.doi.org/10.1017/nmj.2022.13.

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Abstract Varieties fibered into del Pezzo surfaces form a class of possible outputs of the minimal model program. It is known that del Pezzo fibrations of degrees $1$ and $2$ over the projective line with smooth total space satisfying the so-called $K^2$ -condition are birationally rigid: their Mori fiber space structure is unique. This implies that they are not birational to any Fano varieties, conic bundles, or other del Pezzo fibrations. In particular, they are irrational. The families of del Pezzo fibrations with smooth total space of degree $2$ are rather special, as for most families a g

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Garbagnati, Alice. "Elliptic Fibrations and Kodaira Dimensions of Schreieder’s Varieties." International Mathematics Research Notices, January 4, 2021. http://dx.doi.org/10.1093/imrn/rnaa347.

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Abstract We discuss the birational geometry and the Kodaira dimension of certain varieties previously constructed by Schreieder, proving that in any dimension they admit an elliptic fibration and they are not of general type. The $l$-dimensional variety $Y_{(n)}^{(l)}$, which is the quotient of the product of a certain curve $C_{(n)}$ by itself $l$ times by a group $G\simeq \left ({\mathbb{Z}}/n{\mathbb{Z}}\right )^{l-1}$ of automorphisms, was constructed by Schreieder to obtain varieties with prescribed Hodge numbers. If $n=3^c$ Schreieder constructed an explicit smooth birational model of it

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