04126nam 2200661 450 991081180010332120180327174205.00-8218-7956-10-8218-3536-X(CKB)3240000000069892(EBL)3113284(SSID)ssj0000629451(PQKBManifestationID)11410600(PQKBTitleCode)TC0000629451(PQKBWorkID)10735702(PQKB)10960933(MiAaPQ)EBC3113284(RPAM)13659488(PPN)197106935(EXLCZ)99324000000006989220040720h20052005 uy| 0engur|n|---|||||txtccrSpectral 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, editorsProvidence, Rhode Island :American Mathematical Society,[2005]©20051 online resource (338 p.)Contemporary mathematics,0271-4132 ;366Description based upon print version of record.Includes bibliographical references.""Contents""; ""Preface""; ""Part I. Basic Material â€? 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 Zetaâ€?determinant of an Invertible Laplacian on a Stretched Manifold""; ""Agranovichâ€?Dynin Formula for the Zetaâ€?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 3â€?dimensional Topology""; ""Cutâ€?andâ€?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 Selfâ€?adjoint Fredholm Operators""""Variants of Equivariant Seibergâ€?Witten Floer Homology""; ""Part IV. Manifolds with Singularities""; ""Dirac Operators, Boundary Value Problems, and the bâ€?calculus""; ""Guillemin Transform and Toeplitz Representations for Operators Singular Manifolds""; ""Pseudodifferential Operators on Nonâ€?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""Contemporary mathematics (American Mathematical Society) ;v. 366.Spectral geometryK-theoryCongressesOperator algebrasCongressesPseudodifferential operatorsCongressesFredholm operatorsCongressesK-theoryOperator algebrasPseudodifferential operatorsFredholm operators515/.7242Booss Bernhelm1941-Grubb GerdWojciechowski Krzysztof P.1953-MiAaPQMiAaPQMiAaPQBOOK9910811800103321Spectral geometry of manifolds with boundary and decomposition of manifolds4010885UNINA