论文标题

绝对和相对实际分析扭转形式的比较

A comparison of the absolute and relative real analytic torsion forms

论文作者

Zhu, Jialin

论文摘要

在本文中,我们建立了与边界纤维的绝对和相对真实分析扭转形式的比较公式。关键工具是M. Puchol,Y. Zhang和作者证明的分析扭转形式的胶合式。由于比较公式,我们证明了最初由作者猜想的分析扭转形式的胶合公式的另一个版本。

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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