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UNINA9910820401703321 |
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Autore |
Lott John <1959-> |
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Titolo |
Diffeomorphisms and noncommutative analytic torsion / / John Lott |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1999] |
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©1999 |
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ISBN |
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Descrizione fisica |
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1 online resource (71 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 673 |
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Disciplina |
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Soggetti |
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Diffeomorphisms |
Index theorems |
Noncommutative differential geometry |
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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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"September 1999, volume 141, number 673 (third of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 55-56). |
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Nota di contenuto |
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""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"" |
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