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

Released on by Pierre Albin
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  • Resolvent, Heat Kernel, and Torsion under Degeneration to Fibered Cusps Book Detail

  • Author : Pierre Albin
  • Release Date : 2021-06-21
  • Publisher : American Mathematical Soc.
  • Genre : Education
  • Pages : 126
  • ISBN 13 : 1470444224
  • File Size : 77,77 MB
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Resolvent, Heat Kernel, and Torsion under Degeneration to Fibered Cusps by Pierre Albin PDF Summary

Book Description: 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.

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