Geometric aspects of partial differential equations : proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach, September 1819, 1998, Roskilde, Denmark

Contributor(s): Booss Bernhelm | Wojciechowski Krzysztof PMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 242Publication details: Providence, R.I. : American Mathematical Society, 1999Description: 1 online resource (vii, 269 p. : ill.)ISBN: 9780821878323 (online)Subject(s): Geometry, Differential | Index theorems | Spectral theory (Mathematics)Online resources: Click here to access online
Contents:
The Dirac operator and the scalar curvature of continuously deformed algebraic varieties ; The geometry of the RiemannHilbert problem ; Chiral anomaly and Grassmannian boundary conditions ; The index of cone Mellin operators ; Symplectic functional analysis and spectral invariants ; Eta invariants, spectral flows and finite energy SeibergWitten monopoles ; Heat asymptotics with spectral boundary conditions ; Heat content asymptotics ; Extremal Kahler metrics and RaySinger analytic torsion ; Noncommutative residues, Dixmier's trace, and heat trace expansions on manifolds with boundary ; 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 Schrodinger operators on noncompact manifolds Christian Bar and David Bleecker ; Bogdan Bojarski ; Tosiaki Kori ; Grigori Rozenblum ; B BoossBavnbek and K Furutani ; Liviu I Nicolaescu ; Stuart Dowker Peter Gilkey and Klaus Kirsten ; Peter Gilkey ; Werner Muller and Katrin Wendland ; Elmar Schrohe ; Akira Asada ; Jochen Bruning and Matthias Lesch ; BertWolfgang Schulze and Nikolai Tarkhanov ; Mikhail Shubin
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Includes bibliographical references.

The Dirac operator and the scalar curvature of continuously deformed algebraic varieties ; The geometry of the RiemannHilbert problem ; Chiral anomaly and Grassmannian boundary conditions ; The index of cone Mellin operators ; Symplectic functional analysis and spectral invariants ; Eta invariants, spectral flows and finite energy SeibergWitten monopoles ; Heat asymptotics with spectral boundary conditions ; Heat content asymptotics ; Extremal Kahler metrics and RaySinger analytic torsion ; Noncommutative residues, Dixmier's trace, and heat trace expansions on manifolds with boundary ; 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 Schrodinger operators on noncompact manifolds Christian Bar and David Bleecker ; Bogdan Bojarski ; Tosiaki Kori ; Grigori Rozenblum ; B BoossBavnbek and K Furutani ; Liviu I Nicolaescu ; Stuart Dowker Peter Gilkey and Klaus Kirsten ; Peter Gilkey ; Werner Muller and Katrin Wendland ; Elmar Schrohe ; Akira Asada ; Jochen Bruning and Matthias Lesch ; BertWolfgang Schulze and Nikolai Tarkhanov ; Mikhail Shubin

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