A new proof of gluing formula for analytic torsion forms
Junrong Yan
TL;DR
This paper offers a simplified proof of the gluing formula for analytic torsion forms by extending previous work to the family case, improving upon the complexity of earlier proofs.
Contribution
It introduces a new, streamlined proof of the gluing formula for analytic torsion forms applicable to the family case, building on prior research.
Findings
Simplified proof of the gluing formula for analytic torsion forms.
Extension of previous work to the family case.
Reduction in proof complexity compared to earlier methods.
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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Taxonomy
TopicsAlgebraic and Geometric Analysis · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory