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Index theory, eta forms, and Deligne cohomology / / Ulrich Bunke
| Index theory, eta forms, and Deligne cohomology / / Ulrich Bunke |
| Autore | Bunke Ulrich <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina | 515/.7242 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential operators
Invariants Index theory (Mathematics) |
| ISBN | 1-4704-0534-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1""; ""1.1. Introduction""; ""1.2. Further remarks""; ""Chapter 2. Index theory for families with corners""; ""2.1. Dirac operators on manifolds with corners""; ""2.2. Geometric families""; ""Chapter 3. Analytic obstruction theory""; ""3.1. The filtration of K-theory and related obstructions""; ""3.2. Localization over the base""; ""3.3. Resolutions""; ""Chapter 4. Deligne cohomology valued index theory""; ""4.1. Deligne cohomology valued index theory""; ""4.2. Examples""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""
""M""""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""V""; ""W""; ""Z"" |
| Record Nr. | UNINA-9910827665603321 |
Bunke Ulrich <1963->
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| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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K-theory for real C*-algebras and applications / Herbert Schroder
| K-theory for real C*-algebras and applications / Herbert Schroder |
| Autore | Schroder, Herbert |
| Pubbl/distr/stampa | Harlow : Longman Scientific & Technical ; New York : John Wiley, 1993 |
| Descrizione fisica | xiv, 162 p. ; 25 cm. |
| Disciplina | 515.7 |
| Collana | Pitman research notes in mathematics series, ISSN 02693674 ; 290 |
| Soggetto topico |
C*-algebras
Index theory (Mathematics) K-theory KK-theory |
| ISBN | 0582219299 |
| Classificazione |
AMS 19K35
AMS 46L80 QA612.33.S37 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001051639707536 |
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Schroder, Herbert
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| Harlow : Longman Scientific & Technical ; New York : John Wiley, 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Noncommutative Maslov index and Eta-forms / / Charlotte Wahl
| Noncommutative Maslov index and Eta-forms / / Charlotte Wahl |
| Autore | Wahl Charlotte <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Index theory (Mathematics)
Maslov index K-theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0491-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Summary""; ""Notation and conventions""; ""Chapter 1. Preliminaries""; ""1.1. The geometric situation""; ""1.2. The family index theorem""; ""1.3. The algebra of differential forms""; ""1.4. Lagrangian projections""; ""Chapter 2. The Fredholm Operator and Its Index""; ""2.1. The operator D on M""; ""2.2. The operator D[sub(1)] on [0,1]""; ""2.3. The operator D[sub(z)] on the cylinder""; ""2.4. The index of D[sub(+)]""; ""2.5. A perturbation with closed range""; ""Chapter 3. Heat Semigroups and Kernels""; ""3.1. Complex heat kernels""
""3.2. The heat semigroup on closed manifolds""""3.3. The heat semigroup on [0,1]""; ""3.4. The heat semigroup on the cylinder""; ""3.5. The heat semigroup on M""; ""Chapter 4. Superconnections and the Index Theorem""; ""4.1. The superconnection A[sup(I)][sub(1)] associated to D[sub(1)]""; ""4.2. The superconnection associated to D[sub(z)]""; ""4.3. The superconnection A(Ï?[sub(t)] associated to D[sub((Ï?))]""; ""4.4. The index theorem and its proof""; ""4.5. A gluing formula for η-forms on S[sup(1)]""; ""Chapter 5. Definitions and Techniques""; ""5.1. Hilbert C*â€? modules"" ""5.2. Operators on spaces of vector valued functions""""5.3. Projective systems and function spaces""; ""5.4. Holomorphic semigroups""; ""Bibliography"" |
| Record Nr. | UNINA-9910481047603321 |
|
Wahl Charlotte <1972->
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| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Noncommutative Maslov index and Eta-forms / / Charlotte Wahl
| Noncommutative Maslov index and Eta-forms / / Charlotte Wahl |
| Autore | Wahl Charlotte <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Index theory (Mathematics)
Maslov, Índex de K-theory |
| ISBN | 1-4704-0491-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Summary""; ""Notation and conventions""; ""Chapter 1. Preliminaries""; ""1.1. The geometric situation""; ""1.2. The family index theorem""; ""1.3. The algebra of differential forms""; ""1.4. Lagrangian projections""; ""Chapter 2. The Fredholm Operator and Its Index""; ""2.1. The operator D on M""; ""2.2. The operator D[sub(1)] on [0,1]""; ""2.3. The operator D[sub(z)] on the cylinder""; ""2.4. The index of D[sub(+)]""; ""2.5. A perturbation with closed range""; ""Chapter 3. Heat Semigroups and Kernels""; ""3.1. Complex heat kernels""
""3.2. The heat semigroup on closed manifolds""""3.3. The heat semigroup on [0,1]""; ""3.4. The heat semigroup on the cylinder""; ""3.5. The heat semigroup on M""; ""Chapter 4. Superconnections and the Index Theorem""; ""4.1. The superconnection A[sup(I)][sub(1)] associated to D[sub(1)]""; ""4.2. The superconnection associated to D[sub(z)]""; ""4.3. The superconnection A(Ï?[sub(t)] associated to D[sub((Ï?))]""; ""4.4. The index theorem and its proof""; ""4.5. A gluing formula for η-forms on S[sup(1)]""; ""Chapter 5. Definitions and Techniques""; ""5.1. Hilbert C*â€? modules"" ""5.2. Operators on spaces of vector valued functions""""5.3. Projective systems and function spaces""; ""5.4. Holomorphic semigroups""; ""Bibliography"" |
| Record Nr. | UNINA-9910788745003321 |
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Wahl Charlotte <1972->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Noncommutative Maslov index and Eta-forms / / Charlotte Wahl
| Noncommutative Maslov index and Eta-forms / / Charlotte Wahl |
| Autore | Wahl Charlotte <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Index theory (Mathematics)
Maslov, Índex de K-theory |
| ISBN | 1-4704-0491-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Summary""; ""Notation and conventions""; ""Chapter 1. Preliminaries""; ""1.1. The geometric situation""; ""1.2. The family index theorem""; ""1.3. The algebra of differential forms""; ""1.4. Lagrangian projections""; ""Chapter 2. The Fredholm Operator and Its Index""; ""2.1. The operator D on M""; ""2.2. The operator D[sub(1)] on [0,1]""; ""2.3. The operator D[sub(z)] on the cylinder""; ""2.4. The index of D[sub(+)]""; ""2.5. A perturbation with closed range""; ""Chapter 3. Heat Semigroups and Kernels""; ""3.1. Complex heat kernels""
""3.2. The heat semigroup on closed manifolds""""3.3. The heat semigroup on [0,1]""; ""3.4. The heat semigroup on the cylinder""; ""3.5. The heat semigroup on M""; ""Chapter 4. Superconnections and the Index Theorem""; ""4.1. The superconnection A[sup(I)][sub(1)] associated to D[sub(1)]""; ""4.2. The superconnection associated to D[sub(z)]""; ""4.3. The superconnection A(Ï?[sub(t)] associated to D[sub((Ï?))]""; ""4.4. The index theorem and its proof""; ""4.5. A gluing formula for η-forms on S[sup(1)]""; ""Chapter 5. Definitions and Techniques""; ""5.1. Hilbert C*â€? modules"" ""5.2. Operators on spaces of vector valued functions""""5.3. Projective systems and function spaces""; ""5.4. Holomorphic semigroups""; ""Bibliography"" |
| Record Nr. | UNINA-9910828649903321 |
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Wahl Charlotte <1972->
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| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Relative index theory, determinants and torsion for open manifolds [[electronic resource] /] / Jürgen Eichhorn
| Relative index theory, determinants and torsion for open manifolds [[electronic resource] /] / Jürgen Eichhorn |
| Autore | Eichhorn Jürgen |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2009 |
| Descrizione fisica | 1 online resource (353 p.) |
| Disciplina | 516.07 |
| Soggetto topico |
Index theory (Mathematics)
Manifolds (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-44167-1
9786612441677 981-277-145-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents; Introduction; I Absolute invariants for open manifoldsand bundles; II Non-linear Sobolev structures; III The heat kernel of generalized Diracoperators; IV Trace class properties; V Relative index theory; VI Relative (-functions, 1]-functions, determinants and torsion; VII Scattering theory for manifolds with injectivity radius zero; References; List of notations; Index |
| Record Nr. | UNINA-9910456921703321 |
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Eichhorn Jürgen
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| Singapore ; ; Hackensack, NJ, : World Scientific, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Relative index theory, determinants and torsion for open manifolds [[electronic resource] /] / Jürgen Eichhorn
| Relative index theory, determinants and torsion for open manifolds [[electronic resource] /] / Jürgen Eichhorn |
| Autore | Eichhorn Jürgen |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2009 |
| Descrizione fisica | 1 online resource (353 p.) |
| Disciplina | 516.07 |
| Soggetto topico |
Index theory (Mathematics)
Manifolds (Mathematics) |
| ISBN |
1-282-44167-1
9786612441677 981-277-145-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents; Introduction; I Absolute invariants for open manifoldsand bundles; II Non-linear Sobolev structures; III The heat kernel of generalized Diracoperators; IV Trace class properties; V Relative index theory; VI Relative (-functions, 1]-functions, determinants and torsion; VII Scattering theory for manifolds with injectivity radius zero; References; List of notations; Index |
| Record Nr. | UNINA-9910780923303321 |
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Eichhorn Jürgen
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| Singapore ; ; Hackensack, NJ, : World Scientific, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Relative index theory, determinants and torsion for open manifolds / / Jurgen Eichhorn
| Relative index theory, determinants and torsion for open manifolds / / Jurgen Eichhorn |
| Autore | Eichhorn Jurgen |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2009 |
| Descrizione fisica | 1 online resource (353 p.) |
| Disciplina | 516.07 |
| Soggetto topico |
Index theory (Mathematics)
Manifolds (Mathematics) |
| ISBN |
1-282-44167-1
9786612441677 981-277-145-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents; Introduction; I Absolute invariants for open manifoldsand bundles; II Non-linear Sobolev structures; III The heat kernel of generalized Diracoperators; IV Trace class properties; V Relative index theory; VI Relative (-functions, 1]-functions, determinants and torsion; VII Scattering theory for manifolds with injectivity radius zero; References; List of notations; Index |
| Record Nr. | UNINA-9910807402203321 |
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Eichhorn Jurgen
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| Singapore ; ; Hackensack, NJ, : World Scientific, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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