Geometric aspects of partial differential equations : proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach, September 18-19, 1998, Roskilde, Denmark / Bernhelm Booss-Bavnbek, Krzysztof Wojciechowski, editors.

Format:

• Book
• Conference/Event

Contributor:

• Booss, Bernhelm, 1941-
• Wojciechowski, Krzysztof.

Conference Name:

• Mininsymposium on Spectral Invariants, Heat Equation Approach (1998 : Roskilde, Denmark)

Series:

• Contemporary mathematics (American Mathematical Society) ; v. 242.
• Contemporary mathematics, 0271-4132 ; 242

Language:

English

Subjects (All):

• Index theorems--Congresses.
• Spectral theory (Mathematics)--Congresses.
• Spectral theory (Mathematics).
• Geometry, Differential--Congresses.
• Geometry, Differential.
• Index theorems.

Genre:

• Conference papers and proceedings.

Physical Description:

vii, 269 pages : illustrations ; 26 cm.

Place of Publication:

Providence, R.I. : American Mathematical Society, [1999]

Contents:

• Part I. Index and Small Eigenvalues
• The Dirac operator and the scalar curvature of continuously deformed algebraic varieties / Christian Bar, David Bleecker 3
• The geometry of the Riemann-Hilbert problem / Bogdan Bojarski 25
• Chiral anomaly and Grassmannian boundary conditions / Tosiaki Kori 35
• The index of cone Mellin operators / Grigori Rozenblum 43
• Part II. Eta-Invariants, Spectral Flows, and Seiberg-Witten Monopoles
• Symplectic functional analysis and spectral invariants / B. Booss-Bavnbek, K. Furutani 53
• Eta invariants, spectral flows, and finite energy Seiberg-Witten monopoles / Liviu I. Nicolaescu 85
• Part III. Heat Kernels, Determinants, Torsion
• Heat asymptotics with spectral boundary conditions / Stuart Dowker, Peter Gilkey, Klaus Kirsten 107
• Heat content asymptotics / Peter Gilkey 125
• Extremal Kahler metrics and Ray-Singer analytic torsion / Werner Muller, Katrin Wendland 135
• Noncommutative residues, Dixmier's trace, and heat trace expansions on manifolds with boundary / Elmar Schrohe 161
• Part IV. Generalizations
• Spectral invariants and geometry of mapping spaces / Akira Asada 189
• Spectral theory of boundary value problems for Dirac type operators / Jochen Bruning, Matthias Lesch 203
• Ellipticity and parametrices on manifolds with cuspidal edges / Bert-Wolfgang Schulze, Nikolai Tarkhanov 217
• Classical and quantum completeness for the Schrodinger operators on non-compact manifolds / Mikhail Shubin 257.

Notes:

Includes bibliographical references.

ISBN:

0821820613

OCLC:

41628216