Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds

Part I. Basic material-Reviews: Spectral problems from quantum field theory by D. V. Vassilevich Euclidean quantum gravity in light of spectral geometry by G. Esposito Analysis of invariants associated with spectral boundary problems for elliptic operators by G. Grubb Part II. Spectral invariants and asymptotic expansions: A resolvent approach to traces and zeta Laurent expansions by G. Grubb Asymptotic expansion of the zeta-determinant of an invertible Laplacian on a stretched manifold by Y. Lee Agranovich-Dynin formula for the zeta-determinants of the Neumann and Dirichlet problems by J. Park and K. P. Wojciechowski Part III. Geometric and topological problems: The Calderon projector for the odd signature operator and spectral flow calculations in 3-dimensional topology by H. U. Boden, C. M. Herald, and P. Kirk Cut-and-paste on foliated bundles by E. Leichtnam and P. Piazza The uniqueness of the spectral flow on spaces of unbounded self-adjoint Fredholm operators by M. Lesch Variants of equivariant Seiberg-Witten Floer homology by M. Marcolli and B.-L. Wang Part IV. Manifolds with singularities: Dirac operators, boundary value problems, and the $b$-calculus by P. Loya Guillemin transform and Toeplitz representations for operators on singular manifolds by V. E. Nazaikinskii, G. Rozenblum, A. Yu. Savin, and B. Yu. Sternin Pseudodifferential operators on non-compact manifolds and analysis on polyhedral domains by V. Nistor.