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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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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 Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2005]
©2005
Descrizione fisica: 1 online resource (338 p.)
Disciplina: 515/.7242
Soggetto topico: K-theory
Operator algebras
Pseudodifferential operators
Fredholm operators
Persona (resp. second.): BoossBernhelm <1941->
GrubbGerd
WojciechowskiKrzysztof P. <1953->
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: ""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 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""
Altri titoli varianti: Spectral geometry
Titolo autorizzato: Spectral geometry of manifolds with boundary and decomposition of manifolds  Visualizza cluster
ISBN: 0-8218-7956-1
0-8218-3536-X
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910811800103321
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Serie: Contemporary mathematics (American Mathematical Society) ; ; v. 366.