The Geometry and Topology of Coxeter Groups

This book, now in a revised and extended second edition, offers an in-depth account of Coxeter groups through the perspective of geometric group theory. It examines the connections between Coxeter groups and major open problems in topology related to aspherical manifolds, such as the Euler Character...

Disgrifiad llawn

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Davis, Michael W. (Awdur)
Awdur Corfforaethol: SpringerLink (Online service)
Fformat: Electronig eLyfr
Iaith:Saesneg
Cyhoeddwyd: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Rhifyn:2nd ed. 2025.
Cyfres:Springer Monographs in Mathematics,
Pynciau:
Mynediad Ar-lein:https://doi.org/10.1007/978-3-031-91303-7
Tagiau: Ychwanegu Tag
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
Disgrifiad
Crynodeb:This book, now in a revised and extended second edition, offers an in-depth account of Coxeter groups through the perspective of geometric group theory. It examines the connections between Coxeter groups and major open problems in topology related to aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer Conjectures. The book also discusses key topics in geometric group theory and topology, including Hopf’s theory of ends, contractible manifolds and homology spheres, the Poincaré Conjecture, and Gromov’s theory of CAT(0) spaces and groups. In addition, this second edition includes new chapters on Artin groups and their Betti numbers. Written by a leading expert, the book is an authoritative reference on the subject.
Disgrifiad Corfforoll:1 online resource (XXIII, 582 p. 31 illus.). 1 illus. in color.
ISBN:9783031913037
ISSN:2196-9922
DOI:10.1007/978-3-031-91303-7