Work

Equivariant analytic torsion forms

Year: 2026

Type: preprint

Abstract: In this paper, we first construct infinitesimal equivariant analytic torsion forms for Kähler fibrations. We then compare them with Ma's equivariant analytic torsion forms, modulo $\partial$- and $\overline{\partial}$-exact forms, in terms of equivariant Bott--Chern currents and the $I$-genus. Our comparison formula extends that of Bismut and Goette to families.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.17960

Author: Li, Yuxiang

Institutions: Centre National de la Recherche Scientifique, Université Paris Cité, Institut de Mathématiques de Jussieu-Paris Rive Gauche

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7221770975

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