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Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds

Bernhelm Booß-Bavnbek, Gerd Grubb and Krzysztof P. Wojciechowski
American Mathematical Society
Publication Date: 
Number of Pages: 
Contermporary Mathematics 366
We do not plan to review this book.
Part I. Basic material-Reviews

* D. V. Vassilevich -- Spectral problems from quantum field theory
* G. Esposito -- Euclidean quantum gravity in light of spectral geometry
* G. Grubb -- Analysis of invariants associated with spectral boundary problems for elliptic operators

Part II. Spectral invariants and asymptotic expansions

* G. Grubb -- A resolvent approach to traces and zeta Laurent expansions
* Y. Lee -- Asymptotic expansion of the zeta-determinant of an invertible Laplacian on a stretched manifold
* J. Park and K. P. Wojciechowski -- Agranovich-Dynin formula for the zeta-determinants of the Neumann and Dirichlet problems

Part III. Geometric and topological problems

* H. U. Boden, C. M. Herald, and P. Kirk -- The Calder¢n projector for the odd signature operator and spectral flow calculations in 3-dimensional topology
* E. Leichtnam and P. Piazza -- Cut-and-paste on foliated bundles
* M. Lesch -- The uniqueness of the spectral flow on spaces of unbounded self-adjoint Fredholm operators
* M. Marcolli and B.-L. Wang -- Variants of equivariant Seiberg-Witten Floer homology

Part IV. Manifolds with singularities

* P. Loya -- Dirac operators, boundary value problems, and the $b$-calculus
* V. E. Nazaikinskii, G. Rozenblum, A. Yu. Savin, and B. Yu. Sternin -- Guillemin transform and Toeplitz representations for operators on singular manifolds
* V. Nistor -- Pseudodifferential operators on non-compact manifolds and analysis on polyhedral domains