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Albin, Pierre; Quan, Hadrian (, International Mathematics Research Notices)null (Ed.)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.more » « less
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