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Record Nr. |
UNINA9910788658403321 |
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Titolo |
Spectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003 / / Bernhelm Booss-Bavnbek, Gerd Grubb, Krzysztof P. Wojciechowski, editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2005] |
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©2005 |
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ISBN |
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0-8218-7956-1 |
0-8218-3536-X |
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Descrizione fisica |
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1 online resource (338 p.) |
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Collana |
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Contemporary mathematics, , 0271-4132 ; ; 366 |
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Disciplina |
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Soggetti |
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K-theory |
Operator algebras |
Pseudodifferential operators |
Fredholm operators |
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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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Description based upon print version of record. |
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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""; ""Preface""; ""Part I. Basic Material � Reviews""; ""Spectral Problems from Quantum Field Theory""; ""Euclidean Quantum Gravity in Light of Spectral Geometry""; ""Analysis of Invariants Associated with Spectral Boundary Problems for Elliptic Operators""; ""Part II. Spectral Invariants and Asymptotic Expansions""; ""A Resolvent Approach to Traces and Zeta Laurent Expansions""; ""Asymptotic Expansion of the Zeta�determinant of an Invertible Laplacian on a Stretched Manifold""; ""Agranovich�Dynin Formula for the Zeta�determinants of the Neumann and Dirichlet Problems"" |
""Part III. Geometric and Topological Problems""""The Calderón Projector for the Odd Signature Operator and Spectral Flow Calculations in 3�dimensional Topology""; ""Cut�and�paste on Foliated Bundles""; ""1. Introduction""; ""2. Spectral flow""; ""3. Foliated bundles, index classes and the noncommutative spectral flow""; ""4. Index classes on foliated bundles with boundary""; ""5. Fundamental |
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properties of b-index classes""; ""6. On the cut-and-paste invariance of the signature index class""; ""7. Geometric applications""; ""References"" |
""The Uniqueness of the Spectral Flow on Spaces of Unbounded Self�adjoint Fredholm Operators""""Variants of Equivariant Seiberg�Witten Floer Homology""; ""Part IV. Manifolds with Singularities""; ""Dirac Operators, Boundary Value Problems, and the b�calculus""; ""Guillemin Transform and Toeplitz Representations for Operators Singular Manifolds""; ""Pseudodifferential Operators on Non�compact Manifolds and Analysis on Polyhedral Domains""; ""Introduction""; ""1. Boundary value problems""; ""2. Lie algebras of vector fields""; ""3. Melrose's quantization problem"" |
""4. An application to Fredholm conditions""""5. Examples""; ""6. Spectra""; ""References"" |
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