Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Grubb, Gerd
Otros Autores: Wojciechowski, Krzysztof P.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2005.
Colección:Contemporary Mathematics.
Temas:
K-theory > Congresses.
Operator algebras > Congresses.
Pseudodifferential operators > Congresses.
Fredholm operators > Congresses.
Mathematics.
Physical Sciences & Mathematics.
Geometry.
K-théorie > Congrès.
Algèbres d'opérateurs > Congrès.
Opérateurs pseudo-différentiels > Congrès.
Opérateurs de Fredholm > Congrès.
Fredholm operators
K-theory
Operator algebras
Pseudodifferential operators
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 ProblemsThe 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 OperatorsVariants 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 conditions5. Examples
  • 6. Spectra
  • References

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