Adiabatic Limit, Heat Kernel and Analytic Torsion

DOI10.1007/978-3-0348-0257-4_9zbMath1318.58019OpenAlexW186579612MaRDI QIDQ2905639

Richard B. Melrose, Xianzhe Dai

Publication date: 28 August 2012

Published in: Metric and Differential Geometry (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1721.1/115911

zbMATH Keywords

asymptoticssingularityanalytic torsionheat kernelmicrolocal analysisadiabatic limit

Mathematics Subject Classification ID

Determinants and determinant bundles, analytic torsion (58J52) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Perturbations of PDEs on manifolds; asymptotics (58J37) Heat kernel (35K08)

Related Items

A renormalized index theorem for some complete asymptotically regular metrics: the Gauss-Bonnet theorem ⋮ Witten deformation of analytic torsion and the spectral sequence of a filtration ⋮ The index formula for families of Dirac type operators on pseudomanifolds ⋮ Scales, blow-up and quasimode constructions ⋮ Adiabatic Limits, Nonmultiplicativity of Signature, and Leray Spectral Sequence ⋮ Torsion type invariants of singularities ⋮ Resolvent, heat kernel, and torsion under degeneration to fibered cusps ⋮ Submersions and equivariant Quillen metrics ⋮ Functoriality of real analytic torsion forms. ⋮ Analytic Torsion and Dynamical Flow:A Survey on the Fried Conjecture