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The Geometry and Topology of Coxeter Groups

The Geometry and Topology of Coxeter Groups - Springer Monographs in Mathematics

Second Edition 2025th edition

Hardback (26 Aug 2025)

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Publisher's Synopsis

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.

Book information

ISBN: 9783031913020
Publisher: Springer Nature Switzerland
Imprint: Springer
Pub date:
Edition: Second Edition 2025th edition
Language: English
Number of pages: 580
Weight: -1g
Height: 235mm
Width: 155mm