Sub-Riemannian Limit of the Differential Form Heat Kernels of Contact Manifolds
Keyword(s):
Blow Up
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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.
1986 ◽
Vol 41
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pp. 404-410
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2008 ◽
Vol 05
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pp. 63-77
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1984 ◽
Vol 37
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pp. 82-88
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2014 ◽
Vol 2015
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pp. 6136-6210
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1992 ◽
Vol 35
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pp. 455-462
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2018 ◽
Vol 29
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pp. 1850026
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