Hyperbolic Coxeter groups of large dimension
By Tadeusz Januszkiewicz, J. Świa̧tkowski. 2003
87 citations recorded by the source corpus.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/12452ebc648f938ad039bc46a72e1934007483a7
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Discrete Mathematics and Combinatorics
- Daniel T. Wise
- Frédéric Haglund
- Thomas Koberda
- Ian Agol
- Henry Wilton
- Ashot Minasyan
- Mark F. Hagen
- G. Hruska
In Geometry and Topology
- Frédéric Haglund
- Daniel T. Wise
- Thomas Koberda
- Mark F. Hagen
- Ian Agol
- Ashot Minasyan
- Anthony Genevois
- Henry Wilton
In Mathematical Physics
- Daniel T. Wise
- Frédéric Haglund
- Thomas Koberda
- Mark F. Hagen
- Anthony Genevois
- Ian Agol
- Jason A. Behrstock
- Stefan Friedl
Citations in the corpus
- Special Cube Complexes (2008, background): “The right-angled Coxeter group C(Γ) is Gromovhyperbolic whenever Γ is finite and there is no full circuit of length four in Γ. There are plenty of such graphs, even allowing word-hyperbolic right-angled Coxeter groups of arbitrary virtual cohomological dimension [ JS ], [H2].”
- Right-angled Artin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups (2010, background): “In [34], Januszkiewicz and Światkowski study Coxeter groups of high virtual cohomological dimension.”
- Convex cocompactness in pseudo-Riemannian hyperbolic spaces (2017, unknown): “It includes groups of arbitrarily large virtual cohomological dimension [32,33,42],which canhave exotic Gromov boundaries such as the Menger curve, Pontryagin surfaces, Menger compacta, or the Sierpiński carpet [3,22,23,46].”