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Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds

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Bernhelm Booß-Bavnbek, Gerd Grubb and Krzysztof P. Wojciechowski, Editors

Publication: Contemporary Mathematics
Publication Year: 2005; Volume 366
ISBNs: 978-0-8218-3536-4 (print); 978-0-8218-7956-6 (online)
DOI: https://doi.org/10.1090/conm/366
MathSciNet review: 2114480

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Table of Contents

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Front/Back Matter

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Part I. Basic Material—Reviews

• Dmitri V. Vassilevich – Spectral problems from quantum field theory [MR 2114481]
• Giampiero Esposito – Euclidean quantum gravity in light of spectral geometry [MR 2114482]
• Gerd Grubb – Analysis of invariants associated with spectral boundary problems for elliptic operators [MR 2114483]

Part II. Spectral Invariants and Asymptotic Expansions

• Gerd Grubb – A resolvent approach to traces and zeta Laurent expansions [MR 2114484]
• Yoonweon Lee – Asymptotic expansion of the zeta-determinant of an invertible Laplacian on a stretched manifold [MR 2114485]
• Jinsung Park and Krzysztof P. Wojciechowski – Agranovich-Dynin formula for the zeta-determinants of the Neumann and Dirichlet problems [MR 2114486]

Part III. Geometric and Topological Problems

• Hans U. Boden, Christopher M. Herald and Paul Kirk – The Calderón projector for the odd signature operator and spectral flow calculations in 3-dimensional topology [MR 2114487]
• Eric Leichtnam and Paolo Piazza – Cut-and-paste on foliated bundles [MR 2114488]
• Matthias Lesch – The uniqueness of the spectral flow on spaces of unbounded self-adjoint Fredholm operators [MR 2114489]
• Matilde Marcolli and Bai-Ling Wang – Variants of equivariant Seiberg-Witten Floer homology [MR 2114490]

Part IV. Manifolds with Singularities

• Paul Loya – Dirac operators, boundary value problems, and the $b$-calculus [MR 2114491]
• V. E. Nazaikinskii, G. Rozenblum, A. Yu. Savin and B. Yu. Sternin – Guillemin transform and Toeplitz representations for operators on singular manifolds [MR 2114492]
• Victor Nistor – Pseudodifferential operators on non-compact manifolds and analysis on polyhedral domains [MR 2114493]