2017 / June Volume 12 No.2
The Anomaly Formula of the Analytic Torsion on CR Manifolds with S^1 action
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2017 / June
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Title | The Anomaly Formula of the Analytic Torsion on CR Manifolds with S^1 action |
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Pagination | 153-203 |
Abstract | Let $X$ be a compact connected strongly pseudoconvex CR manifold of dimension $2n+1, n\ge 1$ with a transversal CR $S^1$-action on $X$. In this paper we introduce the Quillen metric on the determinant line of the Fourier components of the Kohn-Rossi cohomology on $X$ with respect to the $S^1$-action. We study the behavior of the Quillen metric under the change of the metrics on the manifold $X$ and on the vector bundle over $X$. We obtain an anomaly formula for the Quillen metric on $X$ 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 |
2017-05-28
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