The mapping class group from the viewpoint of measure equivalence theory / / Yoshikata Kida
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| Autore: |
Kida Yoshikata <1982->
|
| Titolo: |
The mapping class group from the viewpoint of measure equivalence theory / / Yoshikata Kida
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| ©2008 | |
| Descrizione fisica: | 1 online resource (206 p.) |
| Disciplina: | 511.3/26 |
| Soggetto topico: | Mappings (Mathematics) |
| Class groups (Mathematics) | |
| Measure theory | |
| Note generali: | "November 2008, volume 196, number 916 (third of 5 numbers )." |
| Nota di bibliografia: | Includes bibliographical references (pages 183-186) and index. |
| Nota di contenuto: | ""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Property A for the curve complex""; ""1. Geometry of the curve complex""; ""2. Generalities for property A""; ""3. Property A for the curve complex""; ""4. Exceptional surfaces""; ""Chapter 3. Amenability for the action of the mapping class group on the boundary of the curve complex""; ""1. The mapping class group and the Thurston boundary""; ""2. The boundary at infinity of the curve complex""; ""3. Amenability for the actions of the mapping class group""; ""4. The boundary of the curve complex for an exceptional surface"" |
| ""Chapter 4. Indecomposability of equivalence relations generated by the mapping class group""""1. Construction of Busemann functions and the MIN set map""; ""2. Preliminaries on discrete measured equivalence relations""; ""3. Reducible elements in the mapping class group""; ""4. Subrelations of the two types: irreducible and amenable ones and reducible ones""; ""5. Canonical reduction systems for reducible subrelations""; ""6. Indecomposability of equivalence relations generated by actions of the mapping class group""; ""7. Comparison with hyperbolic groups"" | |
| ""Chapter 5. Classification of the mapping class groups in terms of measure equivalence I""""1. Reducible subrelations, revisited""; ""2. Irreducible and amenable subsurfaces""; ""3. Amenable, reducible subrelations""; ""4. Classification""; ""Chapter 6. Classification of the mapping class groups in terms of measure equivalence II""; ""1. Geometric lemmas""; ""2. Families of subrelations satisfying the maximal condition""; ""3. Application I (Invariance of complexity under measure equivalence)""; ""4. Application II (The case where complexity is odd)"" | |
| ""5. Application III (The case where complexity is even)""""Appendix A. Amenability of a group action""; ""1. Notation""; ""2. Existence of invariant means""; ""3. The fixed point property""; ""Appendix B. Measurability of the map associating image measures""; ""Appendix C. Exactness of the mapping class group""; ""Appendix D. The cost and l[sup(2)]-Betti numbers of the mapping class group""; ""1. The cost of the mapping class group""; ""2. The l[sup(2)]-Betti numbers of the mapping class group""; ""Appendix E. A group-theoretic argument for Chapter 5""; ""Bibliography""; ""Index""; ""A"" | |
| ""B""""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" | |
| Titolo autorizzato: | The mapping class group from the viewpoint of measure equivalence theory |
| ISBN: | 1-4704-0522-9 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910818801703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 916.