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Resolvent, Heat Kernel, and Torsion under Degeneration to Fibered Cusps

Pierre AlbinFrédéric RochonDavid Sher

出版	American Mathematical Soc., 2021-06-21
主題	Education / General
ISBN	14704442249781470444228
URL	http://books.google.com.hk/books?id=DVw0EAAAQBAJ&hl=&source=gbs_api
EBook	SAMPLE

註釋

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.