TY - BOOK ID - 86042013 TI - Resolvent, heat kernel, and torsion under degeneration to fibered cusps AU - Albin, Pierre AU - Rochon, Frédéric AU - Sher, David PY - 2021 SN - 9781470444228 PB - Providence, Rhode Island : American Mathematical Society, DB - UniCat KW - Riemannian manifolds. KW - Symmetric spaces. KW - Torsion theory (Algebra) KW - Riemann, Variétés de KW - Espaces symétriques KW - Torsion, Théorie de la (algèbre) KW - Resolvents (Mathematics) KW - Heat equation. KW - Kernel functions. KW - Surfaces, Algebraic KW - Surgery (Topology) KW - Degenerations. UR - https://www.unicat.be/uniCat?func=search&query=sysid:86042013 AB - "Manifolds with fibered cusps are a class of complete non-compact Riemannian manifolds including many examples of locally symmetric spaces of rank one. We study the spectrum of the Hodge Laplacian with coefficients in a flat bundle on a closed manifold undergoing degeneration to a manifold with fibered cusps. We obtain precise asymptotics for the resolvent, the heat kernel, and the determinant of the Laplacian. Using these asymptotics we obtain a topological description of the analytic torsion on a manifold with fibered cusps in terms of the R-torsion of the underlying manifold with boundary"-- ER -