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Record Nr. |
UNINA9910481047603321 |
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Autore |
Wahl Charlotte <1972-> |
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Titolo |
Noncommutative Maslov index and Eta-forms / / Charlotte Wahl |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2007 |
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©2007 |
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ISBN |
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Descrizione fisica |
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1 online resource (130 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 189, Number 887 |
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Disciplina |
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Soggetti |
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Index theory (Mathematics) |
Maslov index |
K-theory |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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'Volume 189, Number 887 (last of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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 |
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