Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Coarse cohomology and index theory on complete Riemannian manifolds / / John Roe
| Coarse cohomology and index theory on complete Riemannian manifolds / / John Roe |
| Autore | Roe John <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina | 516.3/73 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Riemannian manifolds
Homology theory Index theory (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0074-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Basic properties of coarse cohomology""; ""2.1. The uniformly bornologous categories""; ""2.2. Definition of coarse theory""; ""2.3. Examples""; ""2.4. Product structure on coarse theory""; ""Chapter 3. Computation of coarse cohomology""; ""3.1. Review of Cech theory""; ""3.2. The main theorem""; ""3.3. Alternative definitions of coarse theory""; ""3.4. When is c an isomorphism?""; ""3.5. Bornotopy""; ""3.6. Examples""; ""Chapter 4. Cyclic cohomology and index theory""; ""4.1. Operator algebras""; ""4.2. The Connes character map""
""6.5. Applications to the signature operator""""6.6. Relation with the Novikov conjecture""; ""References"" |
| Record Nr. | UNINA-9910480541703321 |
Roe John <1959->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Coarse cohomology and index theory on complete Riemannian manifolds / / John Roe
| Coarse cohomology and index theory on complete Riemannian manifolds / / John Roe |
| Autore | Roe John <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina | 516.3/73 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Riemannian manifolds
Homology theory Index theory (Mathematics) |
| ISBN | 1-4704-0074-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Basic properties of coarse cohomology""; ""2.1. The uniformly bornologous categories""; ""2.2. Definition of coarse theory""; ""2.3. Examples""; ""2.4. Product structure on coarse theory""; ""Chapter 3. Computation of coarse cohomology""; ""3.1. Review of Cech theory""; ""3.2. The main theorem""; ""3.3. Alternative definitions of coarse theory""; ""3.4. When is c an isomorphism?""; ""3.5. Bornotopy""; ""3.6. Examples""; ""Chapter 4. Cyclic cohomology and index theory""; ""4.1. Operator algebras""; ""4.2. The Connes character map""
""6.5. Applications to the signature operator""""6.6. Relation with the Novikov conjecture""; ""References"" |
| Record Nr. | UNINA-9910788752003321 |
|
Roe John <1959->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Coarse cohomology and index theory on complete Riemannian manifolds / / John Roe
| Coarse cohomology and index theory on complete Riemannian manifolds / / John Roe |
| Autore | Roe John <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1993 |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina | 516.3/73 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Riemannian manifolds
Homology theory Index theory (Mathematics) |
| ISBN | 1-4704-0074-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Basic properties of coarse cohomology""; ""2.1. The uniformly bornologous categories""; ""2.2. Definition of coarse theory""; ""2.3. Examples""; ""2.4. Product structure on coarse theory""; ""Chapter 3. Computation of coarse cohomology""; ""3.1. Review of Cech theory""; ""3.2. The main theorem""; ""3.3. Alternative definitions of coarse theory""; ""3.4. When is c an isomorphism?""; ""3.5. Bornotopy""; ""3.6. Examples""; ""Chapter 4. Cyclic cohomology and index theory""; ""4.1. Operator algebras""; ""4.2. The Connes character map""
""6.5. Applications to the signature operator""""6.6. Relation with the Novikov conjecture""; ""References"" |
| Record Nr. | UNINA-9910818932403321 |
|
Roe John <1959->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Index theory and operator algebras : proceedings of a CBMS regional conference held August 6-10, 1991 with support from the National Science Foundation / / Jeffrey Fox, Peter Haskell, editors
| Index theory and operator algebras : proceedings of a CBMS regional conference held August 6-10, 1991 with support from the National Science Foundation / / Jeffrey Fox, Peter Haskell, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1993] |
| Descrizione fisica | 1 online resource (202 p.) |
| Disciplina | 514/.74 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Index theory (Mathematics)
Operator algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7739-9
0-8218-5482-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Preface""; ""Equivariant Homology for SL(2) of a p-adic field""; ""Cyclic homology and the Atiyah-Patodi-Singer index theorem""; ""K- homology and the index theorem""; ""On the K-theory proof of the index theorem""; ""Topology of covers and the spectral theory of geometric operators""; ""Some applications of cyclic cohomology to the study of group C* -algebras""; ""Spectral theory for self-adjoint operator extensions associated with Clifford algebras""; ""Averaging operators and open manifolds""; ""K-theory and a bivariable Fredholm index"" |
| Record Nr. | UNINA-9910480208503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1993] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Index theory and operator algebras : proceedings of a CBMS regional conference held August 6-10, 1991 with support from the National Science Foundation / / Jeffrey Fox, Peter Haskell, editors
| Index theory and operator algebras : proceedings of a CBMS regional conference held August 6-10, 1991 with support from the National Science Foundation / / Jeffrey Fox, Peter Haskell, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1993] |
| Descrizione fisica | 1 online resource (202 p.) |
| Disciplina | 514/.74 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Index theory (Mathematics)
Operator algebras |
| ISBN |
0-8218-7739-9
0-8218-5482-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Preface""; ""Equivariant Homology for SL(2) of a p-adic field""; ""Cyclic homology and the Atiyah-Patodi-Singer index theorem""; ""K- homology and the index theorem""; ""On the K-theory proof of the index theorem""; ""Topology of covers and the spectral theory of geometric operators""; ""Some applications of cyclic cohomology to the study of group C* -algebras""; ""Spectral theory for self-adjoint operator extensions associated with Clifford algebras""; ""Averaging operators and open manifolds""; ""K-theory and a bivariable Fredholm index"" |
| Record Nr. | UNINA-9910788642303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1993] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Index theory and operator algebras : proceedings of a CBMS regional conference held August 6-10, 1991 with support from the National Science Foundation / / Jeffrey Fox, Peter Haskell, editors
| Index theory and operator algebras : proceedings of a CBMS regional conference held August 6-10, 1991 with support from the National Science Foundation / / Jeffrey Fox, Peter Haskell, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1993] |
| Descrizione fisica | 1 online resource (202 p.) |
| Disciplina | 514/.74 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Index theory (Mathematics)
Operator algebras |
| ISBN |
0-8218-7739-9
0-8218-5482-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Preface""; ""Equivariant Homology for SL(2) of a p-adic field""; ""Cyclic homology and the Atiyah-Patodi-Singer index theorem""; ""K- homology and the index theorem""; ""On the K-theory proof of the index theorem""; ""Topology of covers and the spectral theory of geometric operators""; ""Some applications of cyclic cohomology to the study of group C* -algebras""; ""Spectral theory for self-adjoint operator extensions associated with Clifford algebras""; ""Averaging operators and open manifolds""; ""K-theory and a bivariable Fredholm index"" |
| Record Nr. | UNINA-9910811520803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1993] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Index theory beyond the Fredholm case / / Alan L. Carey, Galina Levitina
| Index theory beyond the Fredholm case / / Alan L. Carey, Galina Levitina |
| Autore | Carey Alan L. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (186 pages) |
| Disciplina | 512.556 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Index theory (Mathematics)
Teoria de l'índex (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-19436-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Acknowledgements -- Notations -- Contents -- 1 Introduction -- 1.1 Motivation and Background -- 1.2 An Overview of Recent Results -- 1.3 Discussion of the Methods and the Applications in These Notes -- 1.4 Summary of the Exposition -- 2 Double Operator Integrals -- 2.1 Double Operator Integrals in the Discrete Setting -- 2.2 Double Operator Integrals in the General Setting -- 2.3 Double Operator Integrals for Resolvent Comparable Operators -- 2.4 Continuity of Double Operator Integrals with Respect to the Operator Parameters -- 3 The Model Operator and Its Approximants -- 3.1 The Class of p-Relative Trace-Class Perturbations -- 3.2 Main Setting and Assumptions -- 4 The Spectral Shift Function -- 4.1 An Introduction to the Theory of the Spectral Shift Function -- 4.1.1 Perturbation Determinants -- 4.1.2 M. G. Krein' s Construction of the Spectral Shift Function -- 4.1.3 Properties of the Spectral Shift Function -- 4.2 More General Classes of Perturbations -- 4.2.1 Spectral Shift Function for Unitary Operators -- 4.2.2 Spectral Shift Function for Resolvent Comparable Operators -- 4.2.3 Invariance Principle -- 4.2.4 Spectral Shift Function for m-Resolvent Comparable Operators -- 4.3 Continuity of the Spectral Shift Function with Respect to the Operator Parameter -- 4.4 Representation of the Spectral Shift Function via a Regularised Perturbation Determinant -- 4.5 Spectral Shift Functions for the Pairs (A+,A-), (H2,H1) -- 5 Spectral Flow -- 5.1 Phillips' Definition of Spectral Flow and Analytic Formulas -- 5.1.1 The Variation of eta Formula -- 5.1.2 A Review of Analytic Formulas for Spectral Flow -- 5.2 The Relation Between the Spectral Shift Function and the Spectral Flow -- 5.3 Generalised Spectral Flow -- 6 The Principal Trace Formula and Its Applications -- 6.1 A Brief History of the Principal Trace Formula.
6.2 Proving the Principal Trace Formula -- 6.3 A Generalised Pushnitski Formula -- 6.4 The Witten Index -- 6.4.1 Preliminaries -- 6.4.2 The Formula in Terms of the Spectral Shift Function -- 6.5 Cyclic Homology and Invariance -- 6.5.1 How the Witten Index Relates to This -- 6.5.2 Higher Schatten Classes -- 6.6 The Anomaly in Terms of the Spectral Shift Function -- 6.6.1 The Origin of the Notion of an `Anomaly' -- 6.6.2 Relationship to the Spectral Shift Function -- 7 Examples -- 7.1 The Dirac Operator in Rd -- 7.1.1 The Setting -- 7.1.2 Verification of Hypothesis 3.2.5 -- 7.1.3 The Index of DA -- 7.1.4 Behaviour of the Spectral Shift Function for the Massless Dirac Operator -- 7.2 A Compact One-Dimensional Example -- 7.2.1 The Setting -- 7.2.2 Spectral Shift Function of the Pair (Dα+φ, Dα) -- 7.2.3 The Index of the Operator DA -- 7.2.4 Spectral Flow Along the path {Dα+θ(t)φ}tR -- 7.2.5 The Anomaly for the Operator DA -- References. |
| Record Nr. | UNINA-9910633923103321 |
|
Carey Alan L.
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Index theory beyond the Fredholm case / / Alan L. Carey, Galina Levitina
| Index theory beyond the Fredholm case / / Alan L. Carey, Galina Levitina |
| Autore | Carey Alan L. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (186 pages) |
| Disciplina | 512.556 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Index theory (Mathematics)
Teoria de l'índex (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-19436-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Acknowledgements -- Notations -- Contents -- 1 Introduction -- 1.1 Motivation and Background -- 1.2 An Overview of Recent Results -- 1.3 Discussion of the Methods and the Applications in These Notes -- 1.4 Summary of the Exposition -- 2 Double Operator Integrals -- 2.1 Double Operator Integrals in the Discrete Setting -- 2.2 Double Operator Integrals in the General Setting -- 2.3 Double Operator Integrals for Resolvent Comparable Operators -- 2.4 Continuity of Double Operator Integrals with Respect to the Operator Parameters -- 3 The Model Operator and Its Approximants -- 3.1 The Class of p-Relative Trace-Class Perturbations -- 3.2 Main Setting and Assumptions -- 4 The Spectral Shift Function -- 4.1 An Introduction to the Theory of the Spectral Shift Function -- 4.1.1 Perturbation Determinants -- 4.1.2 M. G. Krein' s Construction of the Spectral Shift Function -- 4.1.3 Properties of the Spectral Shift Function -- 4.2 More General Classes of Perturbations -- 4.2.1 Spectral Shift Function for Unitary Operators -- 4.2.2 Spectral Shift Function for Resolvent Comparable Operators -- 4.2.3 Invariance Principle -- 4.2.4 Spectral Shift Function for m-Resolvent Comparable Operators -- 4.3 Continuity of the Spectral Shift Function with Respect to the Operator Parameter -- 4.4 Representation of the Spectral Shift Function via a Regularised Perturbation Determinant -- 4.5 Spectral Shift Functions for the Pairs (A+,A-), (H2,H1) -- 5 Spectral Flow -- 5.1 Phillips' Definition of Spectral Flow and Analytic Formulas -- 5.1.1 The Variation of eta Formula -- 5.1.2 A Review of Analytic Formulas for Spectral Flow -- 5.2 The Relation Between the Spectral Shift Function and the Spectral Flow -- 5.3 Generalised Spectral Flow -- 6 The Principal Trace Formula and Its Applications -- 6.1 A Brief History of the Principal Trace Formula.
6.2 Proving the Principal Trace Formula -- 6.3 A Generalised Pushnitski Formula -- 6.4 The Witten Index -- 6.4.1 Preliminaries -- 6.4.2 The Formula in Terms of the Spectral Shift Function -- 6.5 Cyclic Homology and Invariance -- 6.5.1 How the Witten Index Relates to This -- 6.5.2 Higher Schatten Classes -- 6.6 The Anomaly in Terms of the Spectral Shift Function -- 6.6.1 The Origin of the Notion of an `Anomaly' -- 6.6.2 Relationship to the Spectral Shift Function -- 7 Examples -- 7.1 The Dirac Operator in Rd -- 7.1.1 The Setting -- 7.1.2 Verification of Hypothesis 3.2.5 -- 7.1.3 The Index of DA -- 7.1.4 Behaviour of the Spectral Shift Function for the Massless Dirac Operator -- 7.2 A Compact One-Dimensional Example -- 7.2.1 The Setting -- 7.2.2 Spectral Shift Function of the Pair (Dα+φ, Dα) -- 7.2.3 The Index of the Operator DA -- 7.2.4 Spectral Flow Along the path {Dα+θ(t)φ}tR -- 7.2.5 The Anomaly for the Operator DA -- References. |
| Record Nr. | UNISA-996499867103316 |
|
Carey Alan L.
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Index theory for locally compact noncommutative geometries / / A. L. Carey [and three others]
| Index theory for locally compact noncommutative geometries / / A. L. Carey [and three others] |
| Autore | Carey Alan L |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2014] |
| Descrizione fisica | 1 online resource (v, 130 pages) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry
Index theory (Mathematics) Noncommutative algebras |
| ISBN | 1-4704-1721-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910797044203321 |
|
Carey Alan L
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Index theory for locally compact noncommutative geometries / / A. L. Carey [and three others]
| Index theory for locally compact noncommutative geometries / / A. L. Carey [and three others] |
| Autore | Carey Alan L |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2014] |
| Descrizione fisica | 1 online resource (v, 130 pages) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry
Index theory (Mathematics) Noncommutative algebras |
| ISBN | 1-4704-1721-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910827428503321 |
|
Carey Alan L
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
