A new proof of gluing formula for analytic torsion forms

2023/01/06 by Junrong Yan, Yan, Junrong
Mathematics · #Algebraic Geometry and Number Theory #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.2301.02591

openalex publication_date 2023/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By extending the author's prior work to the family case, this paper presents a new proof of the gluing formula for the analytic torsion forms, considerably simplifying the proof given by Puchol-Zhang-Zhu.

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