| Autor: |
Albin, Pierre, Quan, Hadrian |
| Předmět: |
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| Zdroj: |
IMRN: International Mathematics Research Notices; Apr2022, Vol. 2022 Issue 8, p5818-5881, 64p |
| Abstrakt: |
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. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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