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Geometric Aspects of Partial Differential Equations.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
1999.
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| Colección: | Contemporary Mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""Contents""; ""Preface""; ""Part I. Index and Small Eigenvalues""; ""The Dirac operator and the scalar curvature of continuously deformed algebraic varieties""; ""The geometry of the Riemann-Hilbert problem""; ""Chiral anomaly and Grassmannian boundary conditions""; ""The index of cone Mellin operators""; ""Part II. Eta-Invariants, Spectral Flows, and Seiberg-Witten Monopoles""; ""Symplectic functional analysis and spectral invariants""; ""1. The Hörmander Index under Transversality Condition""; ""2. The Maslov Index for Paths""; ""3. The Fredholm Lagrangian Grassmannian""
- ""4. The Topology of the Fredholm Lagrangian Grassmannian""""5. The HÜrmander Index in Infinite Dimensions""; ""6. An Example""; ""7. General Boundary Data and Cauchy Data Spaces in Distribution Space""; ""8. Generalized Yoshida�Nicolaescu Formula in H�� (Σ)""; ""Appendix A.A Characterization of Lagrangian Fredholm Pairs""; ""References""; ""Eta invariants, spectral flows, and finite energy Seiberg-Witten monopoles""; ""Part III. Heat Kernels, Determinants, Torsion""; ""Heat asymptotics with spectral boundary conditions""; ""Heat content asymptotics""
- ""Extremal KÃ?hler metrics and Ray-Singer analytic torsion""""Noncommutative residues, Dixmier's trace, and heat trace expansions on manifolds with boundary""; ""Introduction""; ""1. The Classical Results for Closed Manifolds""; ""2. Boutet de Manvel's Calculus""; ""3. The Noncommutative Residue for Manifolds with Boundary""; ""4. Dixmier's Trace for Boundary Problems""; ""5. Heat Trace Asymptotics""; ""6. Remarks and References to Further Work""; ""References""; ""Part IV. Generalizations""; ""Spectral invariants and geometry of mapping spaces""
- ""Spectral theory of boundary value problems for Dirac type operators""""Ellipticity and parametrices on manifolds with cuspidal edges""; ""Classical and quantum completeness for the Schrödinger operators on non-compact manifolds""