In these papers from the workshop of August 2003, contributors describe their research in the treatment of geometric and topological problems for partial differential operators on manifolds. Their general topics include reviews of basic materials (quantum field theory, Euclidean quantum gravity in light of spectral geometry, and an analysis of invariants associated with spectral boundary problems and elliptic operators), spectral invariants and asymptotic expansions, geometric and topological problems, and manifolds with singularities. Results include determinants, heat kernels, general trace, index and higher signature formulas, low-dimensional topological invariants, and the structures of the manifolds and operators involved. Papers include resources. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)
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