Noncommutative Maslov index and Eta-forms / / Charlotte Wahl
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Wahl Charlotte <1972->
|
| Titolo: |
Noncommutative Maslov index and Eta-forms / / Charlotte Wahl
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| ©2007 | |
| Descrizione fisica: | 1 online resource (130 p.) |
| Disciplina: | 514/.74 |
| Soggetto topico: | Index theory (Mathematics) |
| Maslov index | |
| K-theory | |
| Soggetto genere / forma: | Electronic books. |
| Note generali: | 'Volume 189, Number 887 (last of 4 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| 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"" | |
| Titolo autorizzato: | Noncommutative Maslov index and Eta-forms |
| ISBN: | 1-4704-0491-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910481047603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 189, Number 887.