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The asymptotics for Cappell–Miller holomorphic torsion

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Abstract

In this paper, we prove an asymptotic formula for the Cappell–Miller holomorphic torsion associated with a high tensor of a positive line bundle and a holomorphic vector bundle. It turns out that the leading term of the asymptotic formula is the same as that of the Ray–Singer holomorphic torsion.

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Authors and Affiliations

  1. Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, 300071, China

    Guangxiang Su

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  1. Guangxiang Su
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Correspondence to Guangxiang Su.

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Supported by NSFC11571183.

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Su, G. The asymptotics for Cappell–Miller holomorphic torsion. manuscripta math. 154, 411–428 (2017). https://doi.org/10.1007/s00229-017-0926-7

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  • DOI: https://doi.org/10.1007/s00229-017-0926-7

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