Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds

Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds

by Bernhelm Booß-Bavnbek
     
 

ISBN-10: 082183536X

ISBN-13: 9780821835364

Pub. Date: 01/05/2005

Publisher: American Mathematical Society

In recent years, increasingly complex methods have been brought into play in the treatment of geometric and topological problems for partial differential operators on manifolds. This collection of papers, resulting from a Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, provides a broad picture of these methods with new

Overview

In recent years, increasingly complex methods have been brought into play in the treatment of geometric and topological problems for partial differential operators on manifolds. This collection of papers, resulting from a Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, provides a broad picture of these methods with new results. Subjects in the book range from spectral flow calculations and cut-and-paste considerations, via pseudodifferential methods, asymptotic expansions and variational arguments, to singular manifold theories and $K$-theoretic cohomological strategies. They lead to results on determinants, heat kernels, general trace, index and higher signature formulas, low-dimensional topological invariants, as well as on the structure of the manifolds and operators involved. Moreover, the approaches and results are placed in a physics context by two reviews on the applications in quantum field theory, respectively quantum gravity. This book is suitable for graduate students and researchers interested in spectral problems in geometry.

Product Details

ISBN-13:
9780821835364
Publisher:
American Mathematical Society
Publication date:
01/05/2005
Series:
Contemporary Mathematics Series, #366
Pages:
328
Product dimensions:
67.50(w) x 95.00(h) x 7.50(d)

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