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Projective deformations
of weakly orderable hyperbolic Coxeter orbifolds
Suhyoung Choi and Gye-Seon Lee |
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Geometry & Topology 19 (2015) 1777–1828
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Abstract |
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A Coxeter –orbifold is an –dimensional orbifold based on a polytope with silvered boundary facets. Each pair of adjacent facets meet on a ridge of some order , whose neighborhood is locally modeled on modulo the dihedral group of order generated by two reflections. For , we study the deformation space of real projective structures on a compact Coxeter –orbifold admitting a hyperbolic structure. Let be the number of ridges of order greater than or equal to . A neighborhood of the hyperbolic structure in the deformation space is a cell of dimension if and is weakly orderable, ie the faces of can be ordered so that each face contains at most edges of order in faces of higher indices, or is based on a truncation polytope. |
Keywords
real projective structure, orbifold, moduli space, Coxeter
groups, representations of groups
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Mathematical Subject Classification 2010
Primary: 57M50, 57N16
Secondary: 53A20, 53C15
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References |
Publication
Received: 16 July 2012
Revised: 23 July 2014
Accepted: 16 September 2014
Published: 29 July 2015
Proposed: Walter Neumann
Seconded: Benson Farb, Danny Calegari
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Authors |
| Suhyoung Choi | |
| Department of Mathematical
Sciences KAIST Daejeon 305-701 South Korea |
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| http://mathsci.kaist.ac.kr/~schoi/ | |
| Gye-Seon Lee | |
| Mathematisches Institut Ruprecht-Karls-Universität Heidelberg D-69120 Heidelberg Germany |
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| http://www.mathi.uni-heidelberg.de/~lee/ | |
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