|
|
libcats.org
The Geometry and Topology of Coxeter Groups.Michael W. DavisThe Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." The book describes the reflection group trick, one of the most potent sources of examples of aspherical manifolds. And the book discusses many important 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. Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer conjectures.
Популярные книги за неделю:
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Только что пользователи скачали эти книги:
Color Atlas of PathologyАвтор: Ursus-Nikolaus Riede, Автор: John GrossmanКатегория: Encyclopaediae
Размер книги: 73.18 Mb
Colenso 1899: The Boer War in NatalАвтор: Ian KnightКатегория: Исторические
Размер книги: 41.66 Mb
A History of German Literature: From the Beginnings to the Present DayАвтор: Wolfgang Beutin, Автор: Klaus Ehlert, Автор: Wolfgang Emmerich, Автор: Helmut Hoffacker, Автор: Bernd Lutz, Автор: Volker Meid, Автор: Ralf Schnell, Автор: Peter Stein, Автор: Inge Stephan
Размер книги: 4.97 Mb
Ghosts by Gaslight: Stories of Steampunk and Supernatural SuspenseАвтор: Jack Dann, Автор: Nick Gevers
Размер книги: 1.56 Mb
Biomass Gasification and Pyrolysis Practical DesignАвтор: Prabir BasuКатегория: Biomass
Размер книги: 6.51 Mb
Magnificent Obsession: Why Jesus Is Great (Epub & Mobi)Автор: David RobertsonКатегория: Christian
Размер книги: 1.00 Mb
|
|
|