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Geometric Aspects of Partial Differential Equations

About this Title

Bernhelm Booss-Bavnbek and Krzysztof Wojciechowski, Editors

Publication: Contemporary Mathematics
Publication Year: 1999; Volume 242
ISBNs: 978-0-8218-2061-2 (print); 978-0-8218-7832-3 (online)
DOI: https://doi.org/10.1090/conm/242
MathSciNet review: 1714490

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Table of Contents

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Front/Back Matter

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Part I. Index and Small Eigenvalues

• Christian Bär and David Bleecker – The Dirac operator and the scalar curvature of continuously deformed algebraic varieties [MR 1714476]
• Bogdan Bojarski – The geometry of the Riemann-Hilbert problem [MR 1714477]
• Tosiaki Kori – Chiral anomaly and Grassmannian boundary conditions [MR 1714478]
• Grigori Rozenblum – The index of cone Mellin operators [MR 1714479]

Part II. Eta-Invariants, Spectral Flows, an dSeiberg-Witten Monopoles

• B. Booss-Bavnbek and K. Furutani – Symplectic functional analysis and spectral invariants [MR 1714480]
• Liviu I. Nicolaescu – Eta invariants, spectral flows and finite energy Seiberg-Witten monopoles [MR 1714481]

Part III. Heat Kernels, Determinants, Torsion

• Stuart Dowker, Peter Gilkey and Klaus Kirsten – Heat asymptotics with spectral boundary conditions [MR 1714482]
• Peter Gilkey – Heat content asymptotics [MR 1714483]
• Werner Müller and Katrin Wendland – Extremal Kähler metrics and Ray-Singer analytic torsion [MR 1714484]
• Elmar Schrohe – Noncommutative residues, Dixmier’s trace, and heat trace expansions on manifolds with boundary [MR 1714485]

Part IV. Generalizations

• Akira Asada – Spectral invariants and geometry of mapping spaces [MR 1714486]
• Jochen Brüning and Matthias Lesch – Spectral theory of boundary value problems for Dirac type operators [MR 1714487]
• Bert-Wolfgang Schulze and Nikolai Tarkhanov – Ellipticity and parametrices on manifolds with cuspidal edges [MR 1714488]
• Mikhail Shubin – Classical and quantum completeness for the Schrödinger operators on non-compact manifolds [MR 1714489]