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The mapping class group from the viewpoint of measure equivalence theory / / Yoshikata Kida
| The mapping class group from the viewpoint of measure equivalence theory / / Yoshikata Kida |
| Autore | Kida Yoshikata <1982-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (206 p.) |
| Disciplina | 511.3/26 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Mappings (Mathematics)
Class groups (Mathematics) Measure theory |
| ISBN | 1-4704-0522-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788853503321 |
Kida Yoshikata <1982->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The mapping class group from the viewpoint of measure equivalence theory / / Yoshikata Kida
| The mapping class group from the viewpoint of measure equivalence theory / / Yoshikata Kida |
| Autore | Kida Yoshikata <1982-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (206 p.) |
| Disciplina | 511.3/26 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Mappings (Mathematics)
Class groups (Mathematics) Measure theory |
| ISBN | 1-4704-0522-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910818801703321 |
|
Kida Yoshikata <1982->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mapping class groups of low genus and their cohomology / / D. J. Benson, F. R. Cohen
| Mapping class groups of low genus and their cohomology / / D. J. Benson, F. R. Cohen |
| Autore | Benson D. J (David J.), <1955-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1991 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 514 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Low-dimensional topology
Complexes Mappings (Mathematics) Homology theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0869-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Artin's Braid Group and the Homology of Certain Subgroups of the Mapping Class Group""; ""1 Statement of Results""; ""2 Presentations""; ""3 H*(K[sub(n)]; Z)""; ""4 Proof of Theorem 1.1""; ""5 The mod�5 Cohomology of T[sup(0)][sub(2,0)] and T[sup(6)][sub(0,0)]""; ""6 The mod�3 Cohomology of T[sup(0)][sub(2,0)]""; ""7 The mod�2 Cohomology of T[sup(0)][sub(2,0)]; Theorems 1.3 and 1.4""; ""8 H*(Σ[sub(6)]; H*(K[sub(6)]; F[sub(5)])); Theorem 5.3""; ""9 Theorem 1.6""; ""10 Facts about B[sub(n)] and Lemmas 3.2 and 3.3""
""Specht Modules and the Cohomology of Mapping Class Groups""""1 Introduction""; ""2 The modules H[sup(j)(K[sub(n),Z), j â?? 3""; ""3 Modules for A[sub(6)] and Σ[sub(6)] in characteristic two""; ""4 Diagrams for H[sup(j)]; (K[sub(6)],F[sub(2)]) as F[sub(2)]A[sub(6)]â€?modules""; ""5 Calculation of H*(Σ[sub(6)]; ,H*(K[sub(6)],F[sub(2)])) â?? H*(T[sup(6)][sub(0,0)],F[sub(2)])""; ""6 Finite subgroups of T[sup(6)][sub(0,0)] and T[sup(0)][sub(2,0)]""; ""7 Calculation of the spectral sequences for H*(T[sup(6)][sub(0,0,)], F[sub(2)] and H*(T[sup(0)][sub(2,0,)], F[sub(2)]"" ""8 Calculations in characteristic three""""The mod 2 cohomology of the mapping class group for a surface of genus two""; ""1 Introduction""; ""2 A construction for K(T[sup(n)[sub(0,00], 1); characteristic classes""; ""3 Steenrod operations on H*(F(S[sup(2)],6)/Σ[sub(6)],F[sub(2)]""; ""4 Steenrod operations on H*(T[sup(6)][sub(0,0)],F[sub(2)]""; ""5 The spectral sequence for T[sup(0)][sub(2,0)]"" |
| Record Nr. | UNINA-9910480715603321 |
|
Benson D. J (David J.), <1955->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mapping class groups of low genus and their cohomology / / D. J. Benson, F. R. Cohen
| Mapping class groups of low genus and their cohomology / / D. J. Benson, F. R. Cohen |
| Autore | Benson D. J (David J.), <1955-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1991 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 514 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Low-dimensional topology
Complexes Mappings (Mathematics) Homology theory |
| ISBN | 1-4704-0869-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Artin's Braid Group and the Homology of Certain Subgroups of the Mapping Class Group""; ""1 Statement of Results""; ""2 Presentations""; ""3 H*(K[sub(n)]; Z)""; ""4 Proof of Theorem 1.1""; ""5 The mod�5 Cohomology of T[sup(0)][sub(2,0)] and T[sup(6)][sub(0,0)]""; ""6 The mod�3 Cohomology of T[sup(0)][sub(2,0)]""; ""7 The mod�2 Cohomology of T[sup(0)][sub(2,0)]; Theorems 1.3 and 1.4""; ""8 H*(Σ[sub(6)]; H*(K[sub(6)]; F[sub(5)])); Theorem 5.3""; ""9 Theorem 1.6""; ""10 Facts about B[sub(n)] and Lemmas 3.2 and 3.3""
""Specht Modules and the Cohomology of Mapping Class Groups""""1 Introduction""; ""2 The modules H[sup(j)(K[sub(n),Z), j â?? 3""; ""3 Modules for A[sub(6)] and Σ[sub(6)] in characteristic two""; ""4 Diagrams for H[sup(j)]; (K[sub(6)],F[sub(2)]) as F[sub(2)]A[sub(6)]â€?modules""; ""5 Calculation of H*(Σ[sub(6)]; ,H*(K[sub(6)],F[sub(2)])) â?? H*(T[sup(6)][sub(0,0)],F[sub(2)])""; ""6 Finite subgroups of T[sup(6)][sub(0,0)] and T[sup(0)][sub(2,0)]""; ""7 Calculation of the spectral sequences for H*(T[sup(6)][sub(0,0,)], F[sub(2)] and H*(T[sup(0)][sub(2,0,)], F[sub(2)]"" ""8 Calculations in characteristic three""""The mod 2 cohomology of the mapping class group for a surface of genus two""; ""1 Introduction""; ""2 A construction for K(T[sup(n)[sub(0,00], 1); characteristic classes""; ""3 Steenrod operations on H*(F(S[sup(2)],6)/Σ[sub(6)],F[sub(2)]""; ""4 Steenrod operations on H*(T[sup(6)][sub(0,0)],F[sub(2)]""; ""5 The spectral sequence for T[sup(0)][sub(2,0)]"" |
| Record Nr. | UNINA-9910788875103321 |
|
Benson D. J (David J.), <1955->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mapping class groups of low genus and their cohomology / / D. J. Benson, F. R. Cohen
| Mapping class groups of low genus and their cohomology / / D. J. Benson, F. R. Cohen |
| Autore | Benson D. J (David J.), <1955-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1991 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 514 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Low-dimensional topology
Complexes Mappings (Mathematics) Homology theory |
| ISBN | 1-4704-0869-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Artin's Braid Group and the Homology of Certain Subgroups of the Mapping Class Group""; ""1 Statement of Results""; ""2 Presentations""; ""3 H*(K[sub(n)]; Z)""; ""4 Proof of Theorem 1.1""; ""5 The mod�5 Cohomology of T[sup(0)][sub(2,0)] and T[sup(6)][sub(0,0)]""; ""6 The mod�3 Cohomology of T[sup(0)][sub(2,0)]""; ""7 The mod�2 Cohomology of T[sup(0)][sub(2,0)]; Theorems 1.3 and 1.4""; ""8 H*(Σ[sub(6)]; H*(K[sub(6)]; F[sub(5)])); Theorem 5.3""; ""9 Theorem 1.6""; ""10 Facts about B[sub(n)] and Lemmas 3.2 and 3.3""
""Specht Modules and the Cohomology of Mapping Class Groups""""1 Introduction""; ""2 The modules H[sup(j)(K[sub(n),Z), j â?? 3""; ""3 Modules for A[sub(6)] and Σ[sub(6)] in characteristic two""; ""4 Diagrams for H[sup(j)]; (K[sub(6)],F[sub(2)]) as F[sub(2)]A[sub(6)]â€?modules""; ""5 Calculation of H*(Σ[sub(6)]; ,H*(K[sub(6)],F[sub(2)])) â?? H*(T[sup(6)][sub(0,0)],F[sub(2)])""; ""6 Finite subgroups of T[sup(6)][sub(0,0)] and T[sup(0)][sub(2,0)]""; ""7 Calculation of the spectral sequences for H*(T[sup(6)][sub(0,0,)], F[sub(2)] and H*(T[sup(0)][sub(2,0,)], F[sub(2)]"" ""8 Calculations in characteristic three""""The mod 2 cohomology of the mapping class group for a surface of genus two""; ""1 Introduction""; ""2 A construction for K(T[sup(n)[sub(0,00], 1); characteristic classes""; ""3 Steenrod operations on H*(F(S[sup(2)],6)/Σ[sub(6)],F[sub(2)]""; ""4 Steenrod operations on H*(T[sup(6)][sub(0,0)],F[sub(2)]""; ""5 The spectral sequence for T[sup(0)][sub(2,0)]"" |
| Record Nr. | UNINA-9910827766103321 |
|
Benson D. J (David J.), <1955->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Maps into manifolds and currents : area and W1,2-,W1/2-, BV-energies / Mariano Giaquinta, Domenico Mucci
| Maps into manifolds and currents : area and W1,2-,W1/2-, BV-energies / Mariano Giaquinta, Domenico Mucci |
| Autore | Giaquinta, Mariano |
| Pubbl/distr/stampa | [Pisa] : Edizioni della Normale, 2006 |
| Descrizione fisica | xxii, 391 p. ; 24 cm |
| Disciplina | 515.64 |
| Altri autori (Persone) | Mucci, Domenicoauthor |
| Collana | CRM series. Nuova serie / Centro di ricerca matematica Ennio De Giorgi ; 3 |
| Soggetto topico |
Mappings (Mathematics)
Riemannian manifolds Currents (Calculus of variations) Measure theory |
| ISBN |
8876422005
9788876422003 |
| Classificazione |
AMS 58D
AMS 49Q12 AMS 58E LC QA360.G53 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002522819707536 |
|
Giaquinta, Mariano
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| [Pisa] : Edizioni della Normale, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Method of spectral mappings in the inverse problem theory / / V. Yurko
| Method of spectral mappings in the inverse problem theory / / V. Yurko |
| Autore | Yurko V. A |
| Edizione | [Reprint 2013] |
| Pubbl/distr/stampa | Utrecht : , : VSP, , 2002 |
| Descrizione fisica | 1 online resource (316 pages) |
| Disciplina | 515/.35 |
| Collana |
Inverse and Ill-Posed Problems Series
Inverse and ill-posed problems series |
| Soggetto topico |
Inverse problems (Differential equations)
Spectral theory (Mathematics) Mappings (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
3-11-063121-0
3-11-094096-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter 1. Inverse problems for Sturm - Liouville operators -- Chapter 2. Inverse problems for higher-order differential operators -- Chapter 3. Inverse problems for pencils of differential operators -- Bibliography |
| Record Nr. | UNINA-9910453450503321 |
|
Yurko V. A
|
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| Utrecht : , : VSP, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Method of spectral mappings in the inverse problem theory / / V. Yurko
| Method of spectral mappings in the inverse problem theory / / V. Yurko |
| Autore | Yurko V. A |
| Edizione | [Reprint 2013] |
| Pubbl/distr/stampa | Utrecht : , : VSP, , 2002 |
| Descrizione fisica | 1 online resource (316 pages) |
| Disciplina | 515/.35 |
| Collana |
Inverse and Ill-Posed Problems Series
Inverse and ill-posed problems series |
| Soggetto topico |
Inverse problems (Differential equations)
Spectral theory (Mathematics) Mappings (Mathematics) |
| Soggetto non controllato |
Differential Equations
Inverse Problems Inverse Spectral Problems Inverse Spectral Theory Operators Spectral Analysis Spectral Mappings Sturm-Liouville |
| ISBN |
3-11-063121-0
3-11-094096-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter 1. Inverse problems for Sturm - Liouville operators -- Chapter 2. Inverse problems for higher-order differential operators -- Chapter 3. Inverse problems for pencils of differential operators -- Bibliography |
| Record Nr. | UNINA-9910791320603321 |
|
Yurko V. A
|
||
| Utrecht : , : VSP, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Method of spectral mappings in the inverse problem theory / / V. Yurko
| Method of spectral mappings in the inverse problem theory / / V. Yurko |
| Autore | Yurko V. A |
| Edizione | [Reprint 2013] |
| Pubbl/distr/stampa | Utrecht : , : VSP, , 2002 |
| Descrizione fisica | 1 online resource (316 pages) |
| Disciplina | 515/.35 |
| Collana |
Inverse and Ill-Posed Problems Series
Inverse and ill-posed problems series |
| Soggetto topico |
Inverse problems (Differential equations)
Spectral theory (Mathematics) Mappings (Mathematics) |
| Soggetto non controllato |
Differential Equations
Inverse Problems Inverse Spectral Problems Inverse Spectral Theory Operators Spectral Analysis Spectral Mappings Sturm-Liouville |
| ISBN |
3-11-063121-0
3-11-094096-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter 1. Inverse problems for Sturm - Liouville operators -- Chapter 2. Inverse problems for higher-order differential operators -- Chapter 3. Inverse problems for pencils of differential operators -- Bibliography |
| Record Nr. | UNINA-9910828257203321 |
|
Yurko V. A
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||
| Utrecht : , : VSP, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The metric theory of Banach manifolds / / Ethan Akin
| The metric theory of Banach manifolds / / Ethan Akin |
| Autore | Akin Ethan <1946-> |
| Edizione | [1st ed. 1978.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1978] |
| Descrizione fisica | 1 online resource (XX, 312 p.) |
| Disciplina | 516.36 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differentiable manifolds
Mappings (Mathematics) Geometry, Differential |
| ISBN | 3-540-35761-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Atlases -- Function spaces -- Metric structures -- Manifolds of mappings -- Uniform and holder continuity -- Immersions and submersions -- Grassmannians and leaf immersions -- Finite dimensional manifolds. |
| Record Nr. | UNISA-996466526603316 |
|
Akin Ethan <1946->
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| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1978] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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