The Geometry and Topology of Coxeter Groups. (LMS-32) /

The Geometry and Topology of Coxeter Groups. (LMS-32) / / Michael Davis.

The 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...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
VerfasserIn:
Davis, Michael,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2012]
©2008
Year of Publication:2012
Edition:Course Book
Language:English
Series:London Mathematical Society Monographs ; 32
Online Access:
Physical Description:1 online resource (600 p.) :; 31 line illus. 3 tables.
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Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • Chapter One. INTRODUCTION AND PREVIEW
  • Chapter Two. SOME BASIC NOTIONS IN GEOMETRIC GROUP THEORY
  • Chapter Three. COXETER GROUPS
  • Chapter Four. MORE COMBINATORIAL THEORY OF COXETER GROUPS
  • Chapter Five. THE BASIC CONSTRUCTION
  • Chapter Six. GEOMETRIC REFLECTION GROUPS
  • Chapter Seven. THE COMPLEX Σ
  • Chapter Eight. THE ALGEBRAIC TOPOLOGY OF U AND OF Σ
  • Chapter Nine. THE FUNDAMENTAL GROUP AND THE FUNDAMENTAL GROUP AT INFINITY
  • Chapter Ten. ACTIONS ON MANIFOLDS
  • Chapter Eleven. THE REFLECTION GROUP TRICK
  • Chapter Twelve. Σ IS CAT(O): THEOREMS OF GROMOV AND MOUSSONG
  • Chapter Thirteen. RIGIDITY
  • Chapter Fourteen. FREE QUOTIENTS AND SURFACE SUBGROUPS
  • Chapter Fifteen. ANOTHER LOOK AT (CO)HOMOLOGY
  • Chapter Sixteen. THE EULER CHARACTERISTIC
  • Chapter Seventeen. GROWTH SERIES
  • Chapter Eighteen. BUILDINGS
  • Chapter Nineteen. HECKE-VON NEUMANN ALGEBRAS
  • Chapter Twenty. WEIGHTED L2-(CO)HOMOLOGY
  • Appendix A: CELL COMPLEXES
  • Appendix B: REGULAR POLYTOPES
  • Appendix C: THE CLASSIFICATION OF SPHERICAL AND EUCLIDEAN COXETER GROUPS
  • Appendix D: THE GEOMETRIC REPRESENTATION
  • Appendix E: COMPLEXES OF GROUPS
  • Appendix F: HOMOLOGY AND COHOMOLOGY OF GROUPS
  • Appendix G: ALGEBRAIC TOPOLOGY AT INFINITY
  • Appendix H: THE NOVIKOV AND BOREL CONJECTURES
  • Appendix I: NONPOSITIVE CURVATURE
  • Appendix J: L2-(CO)HOMOLOGY
  • Bibliography
  • Index

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