2019 / December Volume 14 No.4
The Asymptotics of the $L^2$-analytic Torsion on CR Manifolds with $S^1$ Action
| Published Date |
2019 / December
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|---|---|
| Title | The Asymptotics of the $L^2$-analytic Torsion on CR Manifolds with $S^1$ Action |
| Author | |
| Keyword | |
| Download | |
| Pagination | 461-491 |
| Abstract | Let $\widetilde{X}$ be a paracompact CR manifold with a transversal CR $S^1$-action, such that there is a discrete group
$\Gamma$ acting freely on $\widetilde{X}$ having $X = \widetilde{X}/\Gamma$. We introduce the Fourier components
of the $L^2$-Ray-Singer analytic torsion on $\widetilde{X}$ with respect to the $S^1$-action. We establish an asymptotic
formula for the Fourier components of the $L^2$-analytic torsion with respect to the $S^1$-action.
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| DOI | |
| AMS Subject Classification |
Primary: 58J52, 58J28; Secondary: 57Q10
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| Received |
2019-12-09
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| Accepted |
2019-12-20
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