绝对和相对实解析扭转形式的比较

IF 0.6 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2024-08-16 DOI:10.1007/s10455-024-09965-w

Jialin Zhu

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引用次数: 0

摘要

在本文中，我们建立了有界纤维上绝对和相对实解析扭转形式的比较公式。关键工具是由 Puchol 和 Zhang 以及作者证明的解析扭转形式的胶合公式。作为比较公式的结果，我们证明了作者猜想的解析扭转形式胶合公式的另一个版本。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A comparison of the absolute and relative real analytic torsion forms

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A comparison of the absolute and relative real analytic torsion forms

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 Puchol and 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 by the author.

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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.