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arXiv · 2203.06572

A comparison of the absolute and relative real analytic torsion forms

Jialin Zhu
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Abstract

In this paper we establish a comparison formula of the absolute and relative real analytic torsion forms over fibrations with boundaries. The key tool is a gluing formula of analytic torsion forms proved by M. Puchol, Y. Zhang and the author. As a consequence of the comparison formula, we prove another version of the gluing formula of the analytic torsion forms conjectured originally by the author.

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Jialin Zhu. 2022-03-13. A comparison of the absolute and relative real analytic torsion forms. https://arxiv.org/abs/2203.06572

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