Analysis, Geometry and Topology of Elliptic Operators
Matthias Lesch, Bernhelm Booβ-Bavnbek, Slawomir Klimek, Weiping Zhang - Analysis, Geometry and Topology of Elliptic Operators
Published: 2006-04-25 | ISBN: 9812568050 | PDF | 540 pages | 19.44 MB
Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago. Reviewing elliptic theory over a broad range, 32 leading scientists from 14 different countries present recent developments in topology; heat kernel techniques; spectral invariants and cutting and pasting; noncommutative geometry; and theoretical particle, string and membrane physics, and Hamiltonian dynamics.The first of its kind, this volume is ideally suited to graduate students and researchers interested in careful expositions of newly-evolved achievements and perspectives in elliptic theory. The contributions are based on lectures presented at a workshop acknowledging Krzysztof P Wojciechowski's work in the theory of elliptic operators.