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Relevant bibliographies by topics / Orbifold structure

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Academic literature on the topic 'Orbifold structure'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Orbifold structure"

1

BORZELLINO, JOSEPH E., and VICTOR BRUNSDEN. "THE STRATIFIED STRUCTURE OF SPACES OF SMOOTH ORBIFOLD MAPPINGS." Communications in Contemporary Mathematics 15, no. 05 (2013): 1350018. http://dx.doi.org/10.1142/s0219199713500181.

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We consider four notions of maps between smooth C∞ orbifolds [Formula: see text], [Formula: see text] with [Formula: see text] compact (without boundary). We show that one of these notions is natural and necessary in order to uniquely define the notion of orbibundle pullback. For the notion of complete orbifold map, we show that the corresponding set of Cr maps between [Formula: see text] and [Formula: see text] with the Cr topology carries the structure of a smooth C∞ Banach (r finite)/Fréchet (r = ∞) manifold. For the notion of complete reduced orbifold map, the corresponding set of Cr maps

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2

PFLAUM, M. J., H. B. POSTHUMA, X. TANG, and H. H. TSENG. "ORBIFOLD CUP PRODUCTS AND RING STRUCTURES ON HOCHSCHILD COHOMOLOGIES." Communications in Contemporary Mathematics 13, no. 01 (2011): 123–82. http://dx.doi.org/10.1142/s0219199711004142.

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In this paper, we study the Hochschild cohomology ring of convolution algebras associated to orbifolds, as well as their deformation quantizations. In the first case, the ring structure is given in terms of a wedge product on twisted polyvectorfields on the inertia orbifold. After deformation quantization, the ring structure defines a product on the cohomology of the inertia orbifold. We study the relation between this product and an S1-equivariant version of the Chen–Ruan product. In particular, we give a de Rham model for this equivariant orbifold cohomology.

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CASAS, J. A., F. GOMEZ, and C. MUÑOZ. "COMPLETE STRUCTURE OF Zn YUKAWA COUPLINGS." International Journal of Modern Physics A 08, no. 03 (1993): 455–505. http://dx.doi.org/10.1142/s0217751x93000187.

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We give the complete twisted Yukawa couplings for all the Zn orbifold constructions in the most general case, i.e. when orbifold deformations are considered. This includes a certain number of tasks. Namely, determination of the allowed couplings, calculation of the explicit dependence of the Yukawa couplings values on the moduli expectation values (i.e. the parameters determining the size and shape of the compactified space), etc. The final expressions are completely explicit, which allows a counting of the different Yukawa couplings for each orbifold (with and without deformations). This know

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4

Farsi, Carla, and Christopher Seaton. "Algebraic Structures Associated to Orbifold Wreath Products." Journal of K-Theory 8, no. 2 (2010): 323–38. http://dx.doi.org/10.1017/is010006009jkt121.

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AbstractWe present structure theorems in terms of inertial decompositions for the wreath product ring of an orbifold presented as the quotient of a smooth, closed manifold by a compact, connected Lie group acting almost freely. In particular we show that this ring admits λ-ring and Hopf algebra structures both abstractly and directly. This generalizes results known for global quotient orbifolds by finite groups.

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Goldin, Rebecca, Megumi Harada, Tara S. Holm, and Takashi Kimura. "The full orbifold K-theory of abelian symplectic quotients." Journal of K-Theory 8, no. 2 (2010): 339–62. http://dx.doi.org/10.1017/is010005021jkt118.

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AbstractIn their 2007 paper, Jarvis, Kaufmann, and Kimura defined the full orbifoldK-theory of an orbifold , analogous to the Chen-Ruan orbifold cohomology of in that it uses the obstruction bundle as a quantum correction to the multiplicative structure. We give an explicit algorithm for the computation of this orbifold invariant in the case when arises as an abelian symplectic quotient. To this end, we introduce the inertial K-theory associated to a T -action on a stably complex manifold M, where T is a compact abelian Lie group. Our methods are integral K-theoretic analogues of those used in

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6

Chen, Bohui, Cheng-Yong Du, and A.-Li Liao. "Banach orbifold structure on groupoids of morphisms of orbifolds." Differential Geometry and its Applications 87 (April 2023): 101975. http://dx.doi.org/10.1016/j.difgeo.2023.101975.

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CHEN, WEIMIN. "ON A NOTION OF MAPS BETWEEN ORBIFOLDS I: FUNCTION SPACES." Communications in Contemporary Mathematics 08, no. 05 (2006): 569–620. http://dx.doi.org/10.1142/s0219199706002246.

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This is the first of a series of papers which is devoted to a comprehensive theory of maps between orbifolds. In this paper, we define the maps in the more general context of orbispaces, and establish several basic results concerning the topological structure of the space of such maps. In particular, we show that the space of such maps of Cr class between smooth orbifolds has a natural Banach orbifold structure if the domain of the map is compact, generalizing the corresponding result in the manifold case. Motivations and applications of the theory come from string theory and the theory of pse

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Milanov, Todor, Yongbin Ruan, and Yefeng Shen. "Gromov–Witten theory and cycle-valued modular forms." Journal für die reine und angewandte Mathematik (Crelles Journal) 2018, no. 735 (2018): 287–315. http://dx.doi.org/10.1515/crelle-2015-0019.

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AbstractIn this paper, we review Teleman’s work on lifting Givental’s quantization of{\mathcal{L}^{(2)}_{+}{\rm GL}(H)}action for semisimple formal Gromov–Witten potential into cohomological field theory level. We apply this to obtain a global cohomological field theory for simple elliptic singularities. The extension of those cohomological field theories over large complex structure limit are mirror to cohomological field theories from elliptic orbifold projective lines of weight(3,3,3),(2,4,4),(2,3,6). Via mirror symmetry, we prove generating functions of Gromov–Witten cycles for those orbif

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Watts, Jordan. "The differential structure of an orbifold." Rocky Mountain Journal of Mathematics 47, no. 1 (2017): 289–327. http://dx.doi.org/10.1216/rmj-2017-47-1-289.

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CHANG, NGEE-PONG, DA-XI LI, and J. PÉREZ MERCADER. "ON THE ZERO COSMOLOGICAL CONSTANT SUGRA AND THE ASYMMETRIC ORBIFOLD." International Journal of Modern Physics A 04, no. 02 (1989): 287–326. http://dx.doi.org/10.1142/s0217751x89000121.

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In this paper, we give a brief review of the orbifold compactification of Superstrings and describe how the spectrum of zero-modes determines the structure of the 'low'-energy compactified theory. We show how the asymmetric orbifold can lead to a 'low'-energy N = 1 SUGRA theory that continues to have a zero cosmological constant even after supersymmetry is broken. We discuss the implications the asymmetric orbifold can have for a new scenario of the hierarchy of compactification scales.

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Dissertations / Theses on the topic "Orbifold structure"

1

Heard, Damian. "Computation of hyperbolic structures on 3 dimensional orbifolds /." Connect to theis, 2005. http://eprints.unimelb.edu.au/archive/00001577.

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Riley, Heather. "Real forms of higher spin structures on Riemann orbifolds." Thesis, University of Liverpool, 2015. http://livrepository.liverpool.ac.uk/2028539/.

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In this thesis we study the space of m-spin structures on hyperbolic Klein orbifolds. A hyperbolic Klein orbifold is a hyperbolic 2-dimensional orbifold with a maximal atlas whose transition maps are either holomorphic or anti holomorphic. Hyperbolic Klein orbifolds can be described as pairs (P,\tau), where P is a quotient of the hyperbolic plane by a Fuchsian group \Gamma and \tau an anti-holomorphic involution on P. An m-spin structure on a hyperbolic Klein orbifold P is a complex line bundle L such that the m-th tensor power of L is isomorphic to the cotangent bundle of P and L is invariant

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Greene, Ryan M. "THE DEFORMATION THEORY OF DISCRETE REFLECTION GROUPS AND PROJECTIVE STRUCTURES." The Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1374156914.

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Heard, Damian. "Computation of hyperbolic structures on 3-dimensional orbifolds." 2006. http://repository.unimelb.edu.au/10187/691.

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The computer programs SnapPea by Weeks and Geo by Casson have proven to be powerful tools in the study of hyperbolic 3-manifolds. Manifolds are special examples of spaces called orbifolds, which are modelled locally on R^n modulo finite groups of symmetries. SnapPea can also be used to study orbifolds but it is restricted to those whose singular set is a link.One goal of this thesis is to lay down the theory for a computer program that can work on a much larger class of 3-orbifolds. The work of Casson is generalized and implemented in a computer program Orb which should provide new insight int

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Faulk, Mitchell. "Some canonical metrics on Kähler orbifolds." Thesis, 2019. https://doi.org/10.7916/d8-2jm6-2b57.

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This thesis examines orbifold versions of three results concerning the existence of canonical metrics in the Kahler setting. The first of these is Yau's solution to Calabi's conjecture, which demonstrates the existence of a Kahler metric with prescribed Ricci form on a compact Kahler manifold. The second is a variant of Yau's solution in a certain non-compact setting, namely, the setting in which the Kahler manifold is assumed to be asymptotic to a cone. The final result is one due to Uhlenbeck and Yau which asserts the existence of Kahler-Einstein metrics on stable vector bundles over compact

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Books on the topic "Orbifold structure"

1

Boileau, Michel. Three-dimensional orbifolds and their geometric structures. Societ́e Ḿatheḿatique de France, 2003.

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2

Basterra, Maria, Kristine Bauer, Kathryn Hess, and Brenda Johnson. Women in topology: Collaborations in homotopy theory : WIT, Women in Topology Workshop, August 18-23, 2013, Banff International Research Station, Banff, Alberta, Canada. American Mathematical Society, 2015.

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3

Tretkoff, Paula. Introduction. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0001.

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This chapter explains that the book deals with quotients of the complex 2-ball yielding finite coverings of the projective plane branched along certain line arrangements. It gives a complete list of the known weighted line arrangements that can produce such ball quotients, and then provides a justification for the existence of the quotients. The Miyaoka-Yau inequality for surfaces of general type, and its analogue for surfaces with an orbifold structure, plays a central role. The book also examines the explicit computation of the proportionality deviation of a complex surface for finite covers

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4

Geometric Structures On 2-Orbifolds. Mathematical Society of Japan, 2012.

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5

Geometric Structures on 2-Orbifolds: Exploration of Discrete Symmetry. The Mathematical Society of Japan, 2012. http://dx.doi.org/10.2969/msjmemoirs/027010000.

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6

Carchedi, David. Higher Orbifolds and Deligne-Mumford Stacks As Structured Infinity-Topoi. American Mathematical Society, 2020.

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7

Huybrechts, D. Fourier-Mukai Transforms in Algebraic Geometry. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.001.0001.

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This book provides a systematic exposition of the theory of Fourier-Mukai transforms from an algebro-geometric point of view. Assuming a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. The derived category is a subtle invariant of the isomorphism type of a variety, and its group of autoequivalences often shows a rich structure. As it turns out — and this feature is pursued throughout the book — the behaviour of the derived category is determined by the geometric properties of the canonical bundle of

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Book chapters on the topic "Orbifold structure"

1

Joyce, Dominic D. "Construction Of Compact 7-Manifolds With Holonomy G." In Compact Manifolds with Special Holonomy. Oxford University PressOxford, 2000. http://dx.doi.org/10.1093/oso/9780198506010.003.0011.

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Abstract In this chapter we explain how to construct examples of compact 7-manifolds with holonomy G. Here is a sketch of the method. We begin with a torus T equipped with a flat G-structure (ϕ0, g0), and a finite group r of automorphisms of T preserving (ϕ0, g0). Then T /r is an orbifold with a flat G-structure (ϕ0, g0).

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2

Joyce, Dominic D. "Construction Of Compact 8-Manifolds With Holonomy Spin(7)." In Compact Manifolds with Special Holonomy. Oxford University PressOxford, 2000. http://dx.doi.org/10.1093/oso/9780198506010.003.0013.

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Abstract In this chapter we explain how to construct compact 8-manifolds with holonomy Spin(7), following the G2 case in Chapter 11 closely. We begin with a torus T 8 equipped with a flat Spin(7)-structure (Q0, g0), and a finite group r of automorphisms of T 8 preserving (Q0, g0). Then T 8/r is an orbifold with a flat Spin(7)-structure (Q0, g0).

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3

"Chapter 1. Geometric Structures." In Three-dimensional Orbifolds and Cone-Manifolds. The Mathematical Society of Japan, 2000. http://dx.doi.org/10.2969/msjmemoirs/00501c010.

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4

"Chapter 6. Geometry of orbifolds: geometric structures on orbifolds." In Mathematical Society of Japan Memoirs. The Mathematical Society of Japan, 2012. http://dx.doi.org/10.2969/msjmemoirs/02701c060.

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5

"Chapter 5. Deformations of Hyperbolic Structures." In Three-dimensional Orbifolds and Cone-Manifolds. The Mathematical Society of Japan, 2000. http://dx.doi.org/10.2969/msjmemoirs/00501c050.

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6

"Chapter 7. Deformation spaces of hyperbolic structures on 2-orbifolds: Teichmüller spaces of 2-orbifolds." In Mathematical Society of Japan Memoirs. The Mathematical Society of Japan, 2012. http://dx.doi.org/10.2969/msjmemoirs/02701c070.

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7

Amiot, Claire. "Indecomposable objects in the derived category of a skew-gentle algebra using orbifolds." In Representations of Algebras and Related Structures. EMS Press, 2023. http://dx.doi.org/10.4171/ecr/19/1.

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8

"Chapter 8. Deformation spaces of real projective structures on 2-orbifolds of negative Euler characteristics: An introduction." In Mathematical Society of Japan Memoirs. The Mathematical Society of Japan, 2012. http://dx.doi.org/10.2969/msjmemoirs/02701c080.

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