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The Atiyah-Singer index theorem : an introduction / / Patrick Shanahan
| The Atiyah-Singer index theorem : an introduction / / Patrick Shanahan |
| Autore | Shanahan Patrick <1931-> |
| Edizione | [1st ed. 1978.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1978] |
| Descrizione fisica | 1 online resource (VIII, 228 p.) |
| Disciplina | 514.74 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Index theorems
Differential operators |
| ISBN | 3-540-35921-4 |
| Classificazione | 58G10 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Statement of the theorem -- Applications of the index theorem -- Outline of the proof -- The atiyah-singer fixed point theorem -- Applications of the fixed point theorem. |
| Record Nr. | UNISA-996466536003316 |
Shanahan Patrick <1931->
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| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1978] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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The Callias index formula revisited [e-book] / Fritz Gesztesy, Marcus Waurick
| The Callias index formula revisited [e-book] / Fritz Gesztesy, Marcus Waurick |
| Autore | Gesztesy, Fritz |
| Descrizione fisica | 1 online resource (ix, 192 pages) : illustration |
| Disciplina | 514.74 |
| Altri autori (Persone) | Waurick, Marcusauthor |
| Collana | Lecture notes in mathematics, 0075-8434 ; 2157 |
| Soggetto topico |
Index theorems
Differential equations, Partial |
| ISBN |
9783319299778
3319299778 |
| Classificazione |
AMS 47-02
LC QA614.92 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction.-Notational Conventions ; Functional Analytic ; On Schatten-von Neumann Classes and Trace Class ; Pointwise Estimates for Integral Kernels ; Dirac-Type ; Derivation of the Trace Formula ; The Trace Class Result ; Derivation of the Trace Formula ; Diagonal Estimates ; The Case n = 3 ; The Index Theorem and Some Consequences -- Perturbation Theory for the Helmholtz Equation ; The Proof of Theorem 10.2: The Smooth Case ; The Proof of Theorem 10.2: The General Case ; A Particular Class of Non-Fredholm Operators L and Their Generalized Witten Index ; A: Construction of the Euclidean Dirac Algebra ; B: A Counterexample to [22, Lemma 5] ; References ; Index |
| Record Nr. | UNISALENTO-991003531769707536 |
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Gesztesy, Fritz
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| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Diffeomorphisms and noncommutative analytic torsion / / John Lott
| Diffeomorphisms and noncommutative analytic torsion / / John Lott |
| Autore | Lott John <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (71 p.) |
| Disciplina |
510 s
514/.42 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Diffeomorphisms
Index theorems Noncommutative differential geometry |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0264-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1. Introduction""; ""2. Noncommutative Bundle Theory""; ""2.1. Noncommutative Differential Forms""; ""2.2. Noncommutative Connections and Chern Character""; ""2.3. Chern�Simons Classes of Partially Flat Connections""; ""3. Groups and Covering Spaces""; ""3.1. Cyclic Cohomology of Group Algebras""; ""3.2. Noncommutative Geometry of Covering Spaces""; ""4. B�Hermitian Metrics and Characteristic Classes""; ""4.1. B�Hermitian Metrics""; ""4.2. B�Hermitian Metrics, Group Algebras and Assembly Maps""; ""5. Noncommutative Superconnections""
""5.1. Partially Flat Superconnections""""5.2. A Finite�Dimensional Index Theorem""; ""5.3. The Analytic Torsion Form""; ""6. Fiber Bundles""; ""6.1. B�Pseudodifferential Calculus""; ""6.2. Induced Superconnections""; ""6.3. Small Time Limits""; ""6.4. Index Theorems""; ""6.5. The Analytic Torsion Form II""; ""7. Diffeomorphism Groups""; ""7.1. Free Abelian Fundamental Groups""; ""7.2. General Fundamental Groups""; ""References"" |
| Record Nr. | UNINA-9910480229703321 |
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Lott John <1959->
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| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Diffeomorphisms and noncommutative analytic torsion / / John Lott
| Diffeomorphisms and noncommutative analytic torsion / / John Lott |
| Autore | Lott John <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (71 p.) |
| Disciplina |
510 s
514/.42 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Diffeomorphisms
Index theorems Noncommutative differential geometry |
| ISBN | 1-4704-0264-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1. Introduction""; ""2. Noncommutative Bundle Theory""; ""2.1. Noncommutative Differential Forms""; ""2.2. Noncommutative Connections and Chern Character""; ""2.3. Chern�Simons Classes of Partially Flat Connections""; ""3. Groups and Covering Spaces""; ""3.1. Cyclic Cohomology of Group Algebras""; ""3.2. Noncommutative Geometry of Covering Spaces""; ""4. B�Hermitian Metrics and Characteristic Classes""; ""4.1. B�Hermitian Metrics""; ""4.2. B�Hermitian Metrics, Group Algebras and Assembly Maps""; ""5. Noncommutative Superconnections""
""5.1. Partially Flat Superconnections""""5.2. A Finite�Dimensional Index Theorem""; ""5.3. The Analytic Torsion Form""; ""6. Fiber Bundles""; ""6.1. B�Pseudodifferential Calculus""; ""6.2. Induced Superconnections""; ""6.3. Small Time Limits""; ""6.4. Index Theorems""; ""6.5. The Analytic Torsion Form II""; ""7. Diffeomorphism Groups""; ""7.1. Free Abelian Fundamental Groups""; ""7.2. General Fundamental Groups""; ""References"" |
| Record Nr. | UNINA-9910788739003321 |
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Lott John <1959->
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| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Diffeomorphisms and noncommutative analytic torsion / / John Lott
| Diffeomorphisms and noncommutative analytic torsion / / John Lott |
| Autore | Lott John <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (71 p.) |
| Disciplina |
510 s
514/.42 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Diffeomorphisms
Index theorems Noncommutative differential geometry |
| ISBN | 1-4704-0264-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1. Introduction""; ""2. Noncommutative Bundle Theory""; ""2.1. Noncommutative Differential Forms""; ""2.2. Noncommutative Connections and Chern Character""; ""2.3. Chern�Simons Classes of Partially Flat Connections""; ""3. Groups and Covering Spaces""; ""3.1. Cyclic Cohomology of Group Algebras""; ""3.2. Noncommutative Geometry of Covering Spaces""; ""4. B�Hermitian Metrics and Characteristic Classes""; ""4.1. B�Hermitian Metrics""; ""4.2. B�Hermitian Metrics, Group Algebras and Assembly Maps""; ""5. Noncommutative Superconnections""
""5.1. Partially Flat Superconnections""""5.2. A Finite�Dimensional Index Theorem""; ""5.3. The Analytic Torsion Form""; ""6. Fiber Bundles""; ""6.1. B�Pseudodifferential Calculus""; ""6.2. Induced Superconnections""; ""6.3. Small Time Limits""; ""6.4. Index Theorems""; ""6.5. The Analytic Torsion Form II""; ""7. Diffeomorphism Groups""; ""7.1. Free Abelian Fundamental Groups""; ""7.2. General Fundamental Groups""; ""References"" |
| Record Nr. | UNINA-9910820401703321 |
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Lott John <1959->
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| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Elliptic operators, topology and asymptotic methods / John Roe
| Elliptic operators, topology and asymptotic methods / John Roe |
| Autore | Roe, John |
| Edizione | [2nd ed] |
| Pubbl/distr/stampa | Harlow : Longman, 1998 |
| Descrizione fisica | 209 p. ; 25 cm. |
| Collana | Pitman research notes in mathematics series, ISSN 02693674 ; 395 |
| Soggetto topico |
Differential geometry
Elliptic operators Global analysis (Mathematics) Index theorems |
| ISBN | 0582325021 |
| Classificazione | AMS 58G10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000858569707536 |
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Roe, John
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| Harlow : Longman, 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Generalized symplectic geometries and the index of families of elliptic problems / / Liviu I. Nicolaescu
| Generalized symplectic geometries and the index of families of elliptic problems / / Liviu I. Nicolaescu |
| Autore | Nicolaescu Liviu I. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina |
510 s
514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Index theorems
Geometry, Differential Symplectic manifolds |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0194-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1 Algebraic preliminaries""; ""Â1.1 Clifford algebras""; ""Â1.2 Clifford modules""; ""2 Topological preliminaries""; ""Â2.1 Karoubi's K[Sup(p,q)]-theory""; ""Â2.2 Some elementary examples""; ""Â2.3 Classifying spaces""; ""3 (p,q)-lagrangians and classifying spaces for K-theory""; ""Â3.1 (p,q)-lagrangian subspaces""; ""Â3.2 Graphs of linear operators and lagrangians""; ""Â3.3 The components of FL[Sup(p,q)]""; ""Â3.4 The homotopy type of FL[Sup(p,q)]""; ""4 Symplectic reductions""; ""Â4.1 Generalized symplectic geometries""
""Â4.2 Homotopic properties of the symplectic reduction process""""Â4.3 The generalized Maslov index""; ""Â4.4 Comparison with the traditional Maslov index""; ""5 Clifford symmetric Fredholm operators""; ""Â5.1 The space F[Sup(p,q)]""; ""Â5.2 Hamiltonian (p,q)-modules""; ""Â5.3 The graph map and generalized Floer operators""; ""Â5.4 Examples""; ""6 Families of boundary value problems for Dirac operators""; ""Â6.1 (p,q)-Dirac operators and their Calderon projections""; ""Â6.2 The index of families of boundary value problems""; ""Â6.3 The cobordism in variance of the families index"" |
| Record Nr. | UNINA-9910479921503321 |
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Nicolaescu Liviu I.
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| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Generalized symplectic geometries and the index of families of elliptic problems / / Liviu I. Nicolaescu
| Generalized symplectic geometries and the index of families of elliptic problems / / Liviu I. Nicolaescu |
| Autore | Nicolaescu Liviu I. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina |
510 s
514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Index theorems
Geometry, Differential Symplectic manifolds |
| ISBN | 1-4704-0194-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1 Algebraic preliminaries""; ""Â1.1 Clifford algebras""; ""Â1.2 Clifford modules""; ""2 Topological preliminaries""; ""Â2.1 Karoubi's K[Sup(p,q)]-theory""; ""Â2.2 Some elementary examples""; ""Â2.3 Classifying spaces""; ""3 (p,q)-lagrangians and classifying spaces for K-theory""; ""Â3.1 (p,q)-lagrangian subspaces""; ""Â3.2 Graphs of linear operators and lagrangians""; ""Â3.3 The components of FL[Sup(p,q)]""; ""Â3.4 The homotopy type of FL[Sup(p,q)]""; ""4 Symplectic reductions""; ""Â4.1 Generalized symplectic geometries""
""Â4.2 Homotopic properties of the symplectic reduction process""""Â4.3 The generalized Maslov index""; ""Â4.4 Comparison with the traditional Maslov index""; ""5 Clifford symmetric Fredholm operators""; ""Â5.1 The space F[Sup(p,q)]""; ""Â5.2 Hamiltonian (p,q)-modules""; ""Â5.3 The graph map and generalized Floer operators""; ""Â5.4 Examples""; ""6 Families of boundary value problems for Dirac operators""; ""Â6.1 (p,q)-Dirac operators and their Calderon projections""; ""Â6.2 The index of families of boundary value problems""; ""Â6.3 The cobordism in variance of the families index"" |
| Record Nr. | UNINA-9910788732603321 |
|
Nicolaescu Liviu I.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Generalized symplectic geometries and the index of families of elliptic problems / / Liviu I. Nicolaescu
| Generalized symplectic geometries and the index of families of elliptic problems / / Liviu I. Nicolaescu |
| Autore | Nicolaescu Liviu I. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina |
510 s
514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Index theorems
Geometry, Differential Symplectic manifolds |
| ISBN | 1-4704-0194-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1 Algebraic preliminaries""; ""Â1.1 Clifford algebras""; ""Â1.2 Clifford modules""; ""2 Topological preliminaries""; ""Â2.1 Karoubi's K[Sup(p,q)]-theory""; ""Â2.2 Some elementary examples""; ""Â2.3 Classifying spaces""; ""3 (p,q)-lagrangians and classifying spaces for K-theory""; ""Â3.1 (p,q)-lagrangian subspaces""; ""Â3.2 Graphs of linear operators and lagrangians""; ""Â3.3 The components of FL[Sup(p,q)]""; ""Â3.4 The homotopy type of FL[Sup(p,q)]""; ""4 Symplectic reductions""; ""Â4.1 Generalized symplectic geometries""
""Â4.2 Homotopic properties of the symplectic reduction process""""Â4.3 The generalized Maslov index""; ""Â4.4 Comparison with the traditional Maslov index""; ""5 Clifford symmetric Fredholm operators""; ""Â5.1 The space F[Sup(p,q)]""; ""Â5.2 Hamiltonian (p,q)-modules""; ""Â5.3 The graph map and generalized Floer operators""; ""Â5.4 Examples""; ""6 Families of boundary value problems for Dirac operators""; ""Â6.1 (p,q)-Dirac operators and their Calderon projections""; ""Â6.2 The index of families of boundary value problems""; ""Â6.3 The cobordism in variance of the families index"" |
| Record Nr. | UNINA-9910806183403321 |
|
Nicolaescu Liviu I.
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| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometric aspects of partial differential equations : proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach, September 18-19, 1998, Roskilde, Denmark / / Bernhelm Booss-Bavnbek, Krzysztof Wojciechowski, editors
| Geometric aspects of partial differential equations : proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach, September 18-19, 1998, Roskilde, Denmark / / Bernhelm Booss-Bavnbek, Krzysztof Wojciechowski, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (282 p.) |
| Disciplina | 515/.7222 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Index theorems
Spectral theory (Mathematics) Geometry, Differential |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7832-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910479998603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Index theorems
(27)
- Geometry, Differential (6)
- Chern classes (3)
- Complexes (3)
- Diffeomorphisms (3)