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

فهرست مطالب :

Contents\nPreface\nChapter One. INTRODUCTION AND PREVIEW\nChapter Two. SOME BASIC NOTIONS IN GEOMETRIC GROUP THEORY\nChapter Three. COXETER GROUPS\nChapter Four. MORE COMBINATORIAL THEORY OF COXETER GROUPS\nChapter Five. THE BASIC CONSTRUCTION\nChapter Six. GEOMETRIC REFLECTION GROUPS\nChapter Seven. THE COMPLEX Σ\nChapter Eight. THE ALGEBRAIC TOPOLOGY OF U AND OF Σ\nChapter Nine. THE FUNDAMENTAL GROUP AND THE FUNDAMENTAL GROUP AT INFINITY\nChapter Ten. ACTIONS ON MANIFOLDS\nChapter Eleven. THE REFLECTION GROUP TRICK\nChapter Twelve. Σ IS CAT(O): THEOREMS OF GROMOV AND MOUSSONG\nChapter Thirteen. RIGIDITY\nChapter Fourteen. FREE QUOTIENTS AND SURFACE SUBGROUPS\nChapter Fifteen. ANOTHER LOOK AT (CO)HOMOLOGY\nChapter Sixteen. THE EULER CHARACTERISTIC\nChapter Seventeen. GROWTH SERIES\nChapter Eighteen. BUILDINGS\nChapter Nineteen. HECKE–VON NEUMANN ALGEBRAS\nChapter Twenty. WEIGHTED L2-(CO)HOMOLOGY\nAppendix A: CELL COMPLEXES\nAppendix B: REGULAR POLYTOPES\nAppendix C: THE CLASSIFICATION OF SPHERICAL AND EUCLIDEAN COXETER GROUPS\nAppendix D: THE GEOMETRIC REPRESENTATION\nAppendix E: COMPLEXES OF GROUPS\nAppendix F: HOMOLOGY AND COHOMOLOGY OF GROUPS\nAppendix G: ALGEBRAIC TOPOLOGY AT INFINITY\nAppendix H: THE NOVIKOV AND BOREL CONJECTURES\nAppendix I: NONPOSITIVE CURVATURE\nAppendix J: L2-(CO)HOMOLOGY\nBibliography\nIndex