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Relevant bibliographies by topics / Invariant surfaces

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Academic literature on the topic 'Invariant surfaces'

Author: Grafiati

Published: 4 June 2021

Last updated: 12 February 2022

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Journal articles on the topic "Invariant surfaces"

1

IWAKIRI, MASAHIDE. "FINITE TYPE INVARIANTS FOR SINGULAR SURFACE BRAIDS ASSOCIATED WITH SIMPLE 1-HANDLE SURGERIES." Journal of Knot Theory and Its Ramifications 13, no. 01 (2004): 1–11. http://dx.doi.org/10.1142/s0218216504003007.

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S. Kamada introduced finite type invariants of knotted surfaces in 4-space associated with finger moves and 1-handle surgeries. In this paper, we define finite type invariants of surface braids associated with simple 1-handle surgeries and prove that a certain set of finite type invariants controls all finite type invariants. As a consequence, we see that every finite type invariant is not a complete invariant.

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MANTUROV, VASSILY O. "VASSILIEV INVARIANTS FOR VIRTUAL LINKS, CURVES ON SURFACES AND THE JONES–KAUFFMAN POLYNOMIAL." Journal of Knot Theory and Its Ramifications 14, no. 02 (2005): 231–42. http://dx.doi.org/10.1142/s0218216505003804.

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We discuss the strong invariant of virtual links proposed in [23]. This invariant is obtained as a generalization of the Jones–Kauffman polynomial (generalized Kauffman's bracket) by adding to the sum some equivalence classes of curves in two-dimensional surfaces. Thus, the invariant is valued in the infinite-dimensional free module over Z[q,q-1]. We prove that this invariant can be decomposed into finite type Vassiliev invariant of virtual links (in Kauffman's sense); thus we present new infinite series of Vassiliev invariants. It is also proved that this invariant is strictly stronger than t

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Messias, Marcelo, and Alisson C. Reinol. "Integrability and Dynamics of Quadratic Three-Dimensional Differential Systems Having an Invariant Paraboloid." International Journal of Bifurcation and Chaos 26, no. 08 (2016): 1650134. http://dx.doi.org/10.1142/s0218127416501340.

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Invariant algebraic surfaces are commonly observed in differential systems arising in mathematical modeling of natural phenomena. In this paper, we study the integrability and dynamics of quadratic polynomial differential systems defined in [Formula: see text] having an elliptic paraboloid as an invariant algebraic surface. We obtain the normal form for these kind of systems and, by using the invariant paraboloid, we prove the existence of first integrals, exponential factors, Darboux invariants and inverse Jacobi multipliers, for suitable choices of parameter values. We characterize all the p

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ZENKINA, M. V. "THE PARITY HIERARCHY AND NEW INVARIANTS OF KNOTS IN THICKENED SURFACES." Journal of Knot Theory and Its Ramifications 22, no. 04 (2013): 1340001. http://dx.doi.org/10.1142/s0218216513400014.

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In this paper, we construct an invariant for virtual knots in the thickened sphere Sg with g handles; this invariant is a Laurent polynomial in 2g + 3 variables. To this end, we use a modification of the Wirtinger presentation of the knot group and the concept of parity introduced by Manturov. By using this invariant, one can prove that the knots shown in Fig. 1 are not equivalent [S. A. Grishanov, V. R. Meshkov and V. A. Vassiliev, Recognizing textile structures by finite type knot invariants, J. Knot Theory Ramifications18(2) (2009) 209–235]. Section 4 of the paper is devoted to an enhanceme

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JOUNG, YEWON, JIEON KIM та SANG YOUL LEE. "IDEAL COSET INVARIANTS FOR SURFACE-LINKS IN ℝ4". Journal of Knot Theory and Its Ramifications 22, № 09 (2013): 1350052. http://dx.doi.org/10.1142/s0218216513500521.

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In [Towards invariants of surfaces in 4-space via classical link invariants, Trans. Amer. Math. Soc.361 (2009) 237–265], Lee defined a polynomial [[D]] for marked graph diagrams D of surface-links in 4-space by using a state-sum model involving a given classical link invariant. In this paper, we deal with some obstructions to obtain an invariant for surface-links represented by marked graph diagrams D by using the polynomial [[D]] and introduce an ideal coset invariant for surface-links, which is defined to be the coset of the polynomial [[D]] in a quotient ring of a certain polynomial ring mo

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Hulek, K., I. Nieto, and G. K. Sankaran. "Heisenberg-invariant kummer surfaces." Proceedings of the Edinburgh Mathematical Society 43, no. 2 (2000): 425–39. http://dx.doi.org/10.1017/s0013091500021015.

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AbstractWe study, from the point of view of abelian and Kummer surfaces and their moduli, the special quintic threefold known as Nieto's quintic. It is, in some ways, analogous to the Segre cubic and the Burkhardt quartic and can be interpreted as a moduli space of certain Kummer surfaces. It contains 30 planes and has 10 singular points: we describe how some of these arise from bielliptic and product abelian surfaces and their Kummer surfaces.

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Zanni, C., A. Bernhardt, M. Quiblier, and M. P. Cani. "SCALe-invariant Integral Surfaces." Computer Graphics Forum 32, no. 8 (2013): 219–32. http://dx.doi.org/10.1111/cgf.12199.

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López, Rafael. "Invariant singular minimal surfaces." Annals of Global Analysis and Geometry 53, no. 4 (2017): 521–41. http://dx.doi.org/10.1007/s10455-017-9586-9.

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BOERNER, JEFFREY, and PAUL DRUBE. "GENERALIZED SKEIN MODULES OF SURFACES." Journal of Knot Theory and Its Ramifications 21, no. 01 (2012): 1250006. http://dx.doi.org/10.1142/s0218216511009613.

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There is a one-to-one correspondence between 2-dimensional Topological quantum field theories and Frobenius extensions. Therefore each Frobenius extension defines an invariant of surfaces. We explore these invariants for a family of Frobenius extensions. In addition, we investigate the skein module of surfaces embedded in 3-manifolds corresponding to this family of Frobenius extensions.

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Bellettini, Giovanni, Maurizio Paolini, and Yi-Sheng Wang. "A complete invariant for closed surfaces in the three-sphere." Journal of Knot Theory and Its Ramifications 30, no. 06 (2021): 2150044. http://dx.doi.org/10.1142/s0218216521500449.

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Associated to an embedded surface in the three-sphere, we construct a diagram of fundamental groups, and prove that it is a complete invariant, whereform we deduce complete invariants of handlebody links, tunnels of handlebody links, and spatial graphs. The main ingredients in the proof of the completeness include a generalization of the Kneser conjecture for three-manifolds with boundary proved here, and extensions of Waldhausen’s theorem by Evans, Tucker and Swarup. Computable invariants of handlebody links derived therefrom are calculated.

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Dissertations / Theses on the topic "Invariant surfaces"

1

Fullwood, Joshua Joseph. "Invariant Lattices of Several Elliptic K3 Surfaces." BYU ScholarsArchive, 2021. https://scholarsarchive.byu.edu/etd/9188.

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This work is concerned with computing the invariant lattices of purely non-symplectic automorphisms of special elliptic K3 surfaces. Brandhorst gave a collection of K3 surfaces admitting purely non-symplectic automorphisms that are uniquely determined up to isomorphism by certain invariants. For many of these surfaces, the automorphism is also unique or the automorphism group of the surface is finite and with a nice isomorphism class. Understanding the invariant lattices of these automorphisms and surfaces is interesting because of these uniqueness properties and because it is possible to give

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Wuria, Muhammad Ameen Hussein. "Invariant algebraic surfaces in three dimensional vector fields." Thesis, University of Plymouth, 2016. http://hdl.handle.net/10026.1/4417.

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This work is devoted to investigating the behaviour of invariant algebraic curves for the two dimensional Lotka-Volterra systems and examining almost a geometrical approach for finding invariant algebraic surfaces in three dimensional Lotka-Volterra systems. We consider the twenty three cases of invariant algebraic curves found in Ollagnier (2001) of the two dimensional Lotka-Volterra system in the complex plane and then we explain the geometric nature of each curve, especially at the critical points of the mentioned system. We also investigate the local integrability of two dimensional Lotka-

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Bearzi, Yohann. "Analyse locale de surface avec la base des Wavejets : définition de nouveaux invariants intégraux et application à l'amplification de détails géométriques." Thesis, Lyon, 2019. http://www.theses.fr/2019LYSE1240.

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L'analyse de surface est un domaine de recherche difficile, qui a été un sujet de recherche très actif ces dernières décennies. Quand une surface est représentée par un ensemble de points, typiquement issus de scanners laser 3D, le manque de structure entre ces points rend leur traitement compliqué. Dans cette thèse, on propose une méthode d'analyse de surface en introduisant une nouvelle base de fonctions: les Wavejets. Cette base permet de décomposer localement une surface radialement en polynômes et angulairement en fréquences. Des propriétés de stabilité en fonction d'une mauvaise directio

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Hackman, Michelle. "A new family of screw-motion invariant minimal surfaces." [Bloomington, Ind.] : Indiana University, 2009. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3378352.

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Williams, Stuart R. "The Seiberg-Witten invariant on non-Kahler complex surfaces /." Title page, contents and abstract only, 1997. http://web4.library.adelaide.edu.au/theses/09PH/09phw7269.pdf.

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Borland, Alexander I. "An Invariant of Links on Surfaces via Hopf Algebra Bundles." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1503183775028923.

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Quintino, Áurea Casinhas. "Constrained Willmore surfaces : symmetries of a Möbius invariant integrable system." Thesis, University of Bath, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.501612.

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This work is dedicated to the study of the Möbius invariant class of constrained Willmore surfaces and its symmetries. We define a spectral deformation by the action of a loop of flat metric connections; Bäcklund transformations, by applying a dressing action; and, in 4-space, Darboux transformations, based on the solution of a Riccati equation. We establish a permutability between spectral deformation and Bäcklund transformation and prove that non-trivial Darboux transformation of constrained Willmore surfaces in 4-space can be obtained as a particular case of Bäcklund transformation. All the

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Fedosov, Boris, Bert-Wolfgang Schulze, and Nikolai Tarkhanov. "On the index formula for singular surfaces." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2511/.

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In the preceding paper we proved an explicit index formula for elliptic pseudodifferential operators on a two-dimensional manifold with conical points. Apart from the Atiyah-Singer integral, it contains two additional terms, one of the two being the 'eta' invariant defined by the conormal symbol. In this paper we clarify the meaning of the additional terms for differential operators.

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Auclair, Emmanuel. "Les Surfaces et invariants de type fini en dimension 3." Phd thesis, Université Joseph Fourier (Grenoble), 2006. http://tel.archives-ouvertes.fr/tel-00113863.

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Cette thèse porte sur les invariants des sphères d'homologie entière de dimension 3, et en particulier sur les invariants de type fini pour la filtration de Goussarov-Habiro.<br />Dans une première partie, on étudie la variation d'un invariant de degré 2n après chirurgie le long d'une surface par un élément du 2n-ième terme de la série centrale descendante du groupe de Torelli. Dans le cas d'un commutateur de 2n éléments du groupe de Torelli, on exprime cette variation en fonction de l'homomorphisme de Johnson évalué sur ces 2n éléments et du système de poids de l'invariant.<br /><br />Le calc

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Fedosov, Boris, Bert-Wolfgang Schulze, and Nikolai N. Tarkhanov. "The index of higher order operators on singular surfaces." Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2512/.

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The index formula for elliptic pseudodifferential operators on a two-dimensional manifold with conical points contains the Atiyah-Singer integral as well as two additional terms. One of the two is the 'eta' invariant defined by the conormal symbol, and the other term is explicitly expressed via the principal and subprincipal symbols of the operator at conical points. In the preceding paper we clarified the meaning of the additional terms for first-order differential operators. The aim of this paper is an explicit description of the contribution of a conical point for higher-order differential

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Books on the topic "Invariant surfaces"

1

Llibre, Jaume. Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations. American Mathematical Society, 1994.

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2

Mochizuki, Takuro. Donaldson Type Invariants for Algebraic Surfaces. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-93913-9.

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Donaldson type invariants for algebraic surfaces: Transition of moduli stacks. Springer, 2009.

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I, Arnolʹd V. Topological invariants of plane curves and caustics. American Mathematical Society, 1994.

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Conformal invariants: Topics in geometric function theory. AMS Chelsea Pub., 2010.

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6

K, Zvonkin Alexander, and Zagier Don 1951-, eds. Graphs on surfaces and their applications. Springer, 2003.

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7

editor, Donagi Ron, Katz Sheldon 1956 editor, Klemm Albrecht 1960 editor, and Morrison, David R., 1955- editor, eds. String-Math 2012: July 16-21, 2012, Universität Bonn, Bonn, Germany. American Mathematical Society, 2015.

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8

Li, Weiping, and Shihshu Walter Wei. Geometry and topology of submanifolds and currents: 2013 Midwest Geometry Conference, October 19, 2013, Oklahoma State University, Stillwater, Oklahoma : 2012 Midwest Geometry Conference, May 12-13, 2012, University of Oklahoma, Norman, Oklahoma. American Mathematical Society, 2015.

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9

Jaco, William H., Hyam Rubinstein, Craig David Hodgson, Martin Scharlemann, and Stephan Tillmann. Geometry and topology down under: A conference in honour of Hyam Rubinstein, July 11-22, 2011, The University of Melbourne, Parkville, Australia. American Mathematical Society, 2013.

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10

Tretkoff, Paula. Algebraic Surfaces and the Miyaoka-Yau Inequality. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0005.

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This chapter discusses complex algebraic surfaces, with particular emphasis on the Miyaoka-Yau inequality and the rough classification of surfaces. Every complex algebraic surface is birationally equivalent to a smooth surface containing no exceptional curves. The latter is known as a minimal surface. Two related birational invariants, the plurigenus and the Kodaira dimension, play an important role in distinguishing between complex surfaces. The chapter first provides an overview of the rough classification of (smooth complex connected compact algebraic) surfaces before presenting two approac

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Book chapters on the topic "Invariant surfaces"

1

Cutkosky, Steven Dale. "6. The Invariant $\nu$." In Monomialization of Morphisms from 3-folds to Surfaces. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-48030-3_6.

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Zeisl, Bernhard, Kevin Köser, and Marc Pollefeys. "Viewpoint Invariant Matching via Developable Surfaces." In Computer Vision – ECCV 2012. Workshops and Demonstrations. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33868-7_7.

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Mochizuki, Takuro. "Geometric Invariant Theory and Enhanced Master Space." In Donaldson Type Invariants for Algebraic Surfaces. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-93913-9_4.

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Bez, H. E. "The Invariant Functions of the Rational Bi-cubic Bézier Surfaces." In Mathematics of Surfaces XIII. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03596-8_4.

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Cutkosky, Steven Dale. "7. The Invariant $\nu$ Under Quadratic Transforms." In Monomialization of Morphisms from 3-folds to Surfaces. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-48030-3_7.

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Celletti, Alessandra. "Librational Invariant Surfaces in the Spin-Orbit Problem." In Hamiltonian Mechanics. Springer US, 1994. http://dx.doi.org/10.1007/978-1-4899-0964-0_21.

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Séquin, C. H., P. Y. Chang, and H. P. Moreton. "Scale-Invariant Functional for Smooth Curves and Surfaces." In Geometric Modelling. Springer Vienna, 1995. http://dx.doi.org/10.1007/978-3-7091-7584-2_21.

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Chiabert, Paolo, and Mario Costa. "Probabilistic evaluation of invariant surfaces through the Parzen’s method." In Geometric Product Specification and Verification: Integration of Functionality. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-1691-8_25.

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Sugawa, Toshiyuki. "Unified Approach to Conformally Invariant Metrics on Riemann Surfaces." In Proceedings of the Second ISAAC Congress. Springer US, 2000. http://dx.doi.org/10.1007/978-1-4613-0271-1_35.

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Kurtek, Sebastian, Eric Klassen, Zhaohua Ding, Malcolm J. Avison, and Anuj Srivastava. "Parameterization-Invariant Shape Statistics and Probabilistic Classification of Anatomical Surfaces." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22092-0_13.

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Conference papers on the topic "Invariant surfaces"

1

Fitzgibbon, Andrew W., and Robert B. Fisher. "Invariant Fitting of Arbitrary Single-Extremum Surfaces." In British Machine Vision Conference 1993. British Machine Vision Association, 1993. http://dx.doi.org/10.5244/c.7.57.

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Conroy, T. L., and J. B. Moore. "Resolution invariant surfaces for panoramic vision systems." In Proceedings of the Seventh IEEE International Conference on Computer Vision. IEEE, 1999. http://dx.doi.org/10.1109/iccv.1999.791247.

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Hampp, Joshua, and Richard Bormann. "Rotation and translation invariant 3D descriptor for surfaces." In 2015 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE, 2015. http://dx.doi.org/10.1109/iros.2015.7353450.

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Stevenson, Robert L., and Edward J. Delp III. "Invariant reconstruction of 3-D curves and surfaces." In Boston - DL tentative, edited by David P. Casasent. SPIE, 1991. http://dx.doi.org/10.1117/12.25229.

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Wolff, Lawrence B. "Measuring The Orientation Of Lines And Surfaces Using Translation Invariant Stereo." In 1988 Robotics Conferences, edited by Paul S. Schenker. SPIE, 1989. http://dx.doi.org/10.1117/12.948923.

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Jribi, Majdi, Faouzi Ghorbel, and Sabra Mabrouk. "Unsupervised classifier based on geodesic invariant 3D curve for face surfaces analysis." In 2010 5th International Symposium On I/V Communications and Mobile Network (ISVC). IEEE, 2010. http://dx.doi.org/10.1109/isvc.2010.5656170.

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Ko, Teddy, and Peter Bock. "Viewpoint-Invariant and Illumination-Invariant Classification of Natural Surfaces Using General-Purpose Color and Texture Features with the ALISA dCRC Classifier." In 35th IEEE Applied Imagery and Pattern Recognition Workshop (AIPR'06). IEEE, 2006. http://dx.doi.org/10.1109/aipr.2006.40.

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Limaiem, Anis, and Hoda A. ElMaraghy. "Curve Skinning Using Dual Kriging." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/dac-3977.

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Abstract This paper presents a new method for curve skinning based on dual Kriging interpolation. Curves that have arbitrary parametric forms are used to generate the surfaces. The surface generated is invariant under affine transformations and translations if the generator curves are also invariant under these transformations and the surface is as smooth as the Kriging profile. A general Kriging profile is used for the interpolation. Derivatives data and linear constraints may be specified along the cross direction at each generator curve, hence, allowing the construction of blending surfaces

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Sathyamurthi, Vijaykumar, and Debjyoti Banerjee. "Dynamics of Pool Boiling on Plain and Nanotube Coated Silicon Surfaces." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22921.

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Saturated pool boiling experiments are conducted over silicon substrates with and without Multi-walled Carbon Nanotubes (MWCNT) with PF-5060 as the test fluid. Micro-fabricated thin film thermocouples located on the substrate acquire surface temperature fluctuation data at 1 kHz frequency. The high frequency surface temperature data is analyzed for the presence of chaotic dynamics. The shareware code, TISEAN© is used in analysis of the temperature time-series. Results show the presence of low-dimensional deterministic chaos, near Critical Heat Flux (CHF) and in some parts of the Fully Develope

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Ge, Q. J., and Donglai Kang. "Geometric Design of Smooth Composite Ruled Surface Strips Using Dual Spherical Geometry." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0086.

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Abstract This paper deals with geometric construction of smooth composite ruled surface strips. Oriented lines that constitute the rulings of the ruled surfaces are represented by unit vectors with three components over the ring of dual numbers. The problem of designing a smooth ruled surface is studied as that of designing a one-real-parametric curve on the unit dual sphere. Geometric conditions for piecing two ruled surfaces smoothly are developed using differential geometry of curves on the dual sphere. A coordinate-frame invariant method for line segmentation is also presented. Finally, a

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Reports on the topic "Invariant surfaces"

1

Hollenberg, J. B., and J. D. Callen. Turbulent transport across invariant canonical flux surfaces. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10185803.

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2

Nagao, Kenji, and Eric Grimson. Object Recognition by Alignment Using Invariant Projections of Planar Surfaces. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada279841.

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S.R. Hudson. Destruction of Invariant Surfaces and Magnetic Coordinates for Perturbed Magnetic Fields. Office of Scientific and Technical Information (OSTI), 2003. http://dx.doi.org/10.2172/820204.

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Ramamurti, Sita, and David Gilsinn. Bicubic b-spline surface approximation of invariant tori. National Institute of Standards and Technology, 2010. http://dx.doi.org/10.6028/nist.ir.7731.

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Ziegler, Nancy, Nicholas Webb, Adrian Chappell, and Sandra LeGrand. Scale invariance of albedo-based wind friction velocity. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/40499.

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Obtaining reliable estimates of aerodynamic roughness is necessary to interpret and accurately predict aeolian sediment transport dynamics. However, inherent uncertainties in field measurements and models of surface aerodynamic properties continue to undermine aeolian research, monitoring, and dust modeling. A new relation between aerodynamic shelter and land surface shadow has been established at the wind tunnel scale, enabling the potential for estimates of wind erosion and dust emission to be obtained across scales from albedo data. Here, we compare estimates of wind friction velocity (u*)

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