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Creators/Authors contains: "Quan, Hadrian"

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  1. 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. 
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