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 |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
Descrizione fisica | 1 online resource (338 p.) |
Disciplina | 515/.7242 |
Collana | Contemporary mathematics |
Soggetto topico |
K-theory
Operator algebras Pseudodifferential operators Fredholm operators |
ISBN |
0-8218-7956-1
0-8218-3536-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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 |
Record Nr. | UNINA-9910788658403321 |
Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
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 |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
Descrizione fisica | 1 online resource (338 p.) |
Disciplina | 515/.7242 |
Collana | Contemporary mathematics |
Soggetto topico |
K-theory
Operator algebras Pseudodifferential operators Fredholm operators |
ISBN |
0-8218-7956-1
0-8218-3536-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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 |
Record Nr. | UNINA-9910811800103321 |
Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|