Affiliation:
1. University of Illinois, Urbana-Champaign
Abstract
Abstract
We study the behavior of the heat kernel of the Hodge Laplacian on a contact manifold endowed with a family of Riemannian metrics that blow-up the directions transverse to the contact distribution. We apply this to analyze the behavior of global spectral invariants such as the $\eta $-invariant and the determinant of the Laplacian. In particular, we prove that contact versions of the relative $\eta $-invariant and the relative analytic torsion are equal to their Riemannian analogues and hence topological.
Funder
Simons Foundation
National Science Foundation
Publisher
Oxford University Press (OUP)
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