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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->
|
||
| 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 |
|
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 |
|
Wahl Charlotte <1972->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||