Uniqueness of homogeneous CAT(0) polygonal complexes

Nir Lazarovich

doi:10.1007/s10711-013-9837-2

Uniqueness of homogeneous CAT(0) polygonal complexes

Nir Lazarovich

Mathematics

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We provide a combinatorial condition on a finite connected graph, L, for which there exists a unique CAT(0) polygonal complex such that the link at each vertex is L. Under the further assumption that the polygons have an even number of sides we prove that this condition is also necessary, and that there are either one or a continuum of non-isomorphic such complexes.

Original language	English
Pages (from-to)	397-414
Number of pages	18
Journal	Geometriae Dedicata
Volume	168
Issue number	1
DOIs	https://doi.org/10.1007/s10711-013-9837-2
State	Published - Feb 2014

Keywords

Coxeter groups
Geometric group theory
Non-positive curvature
Polygonal complexes

All Science Journal Classification (ASJC) codes

Geometry and Topology

Access to Document

10.1007/s10711-013-9837-2

Cite this

@article{00125d54947b489fb38c6442abfa19eb,

title = "Uniqueness of homogeneous CAT(0) polygonal complexes",

abstract = "We provide a combinatorial condition on a finite connected graph, L, for which there exists a unique CAT(0) polygonal complex such that the link at each vertex is L. Under the further assumption that the polygons have an even number of sides we prove that this condition is also necessary, and that there are either one or a continuum of non-isomorphic such complexes.",

keywords = "Coxeter groups, Geometric group theory, Non-positive curvature, Polygonal complexes",

author = "Nir Lazarovich",

year = "2014",

month = feb,

doi = "10.1007/s10711-013-9837-2",

language = "الإنجليزيّة",

volume = "168",

pages = "397--414",

journal = "Geometriae Dedicata",

issn = "0046-5755",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Uniqueness of homogeneous CAT(0) polygonal complexes

AU - Lazarovich, Nir

PY - 2014/2

Y1 - 2014/2

N2 - We provide a combinatorial condition on a finite connected graph, L, for which there exists a unique CAT(0) polygonal complex such that the link at each vertex is L. Under the further assumption that the polygons have an even number of sides we prove that this condition is also necessary, and that there are either one or a continuum of non-isomorphic such complexes.

AB - We provide a combinatorial condition on a finite connected graph, L, for which there exists a unique CAT(0) polygonal complex such that the link at each vertex is L. Under the further assumption that the polygons have an even number of sides we prove that this condition is also necessary, and that there are either one or a continuum of non-isomorphic such complexes.

KW - Coxeter groups

KW - Geometric group theory

KW - Non-positive curvature

KW - Polygonal complexes

UR - http://www.scopus.com/inward/record.url?scp=84893648797&partnerID=8YFLogxK

U2 - 10.1007/s10711-013-9837-2

DO - 10.1007/s10711-013-9837-2

M3 - مقالة

SN - 0046-5755

VL - 168

SP - 397

EP - 414

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

Uniqueness of homogeneous CAT(0) polygonal complexes

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Cite this