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Equivariant analytic torsion forms
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 ∂- and ∂̅-exact forms, in terms of equivariant Bott--Chern currents and the I-genus. Our comparison formula extends that of Bismut and Goette to families.
Related
- Asymptotics of holomorphic torsion on orbifolds and an equivariant arithmetic Hilbert-Samuel theorem
- Equivariant multiplicities and torsion at attractive fixed points
- ADDITIVITY AXIOM FOR THE TORSION FORMS AND HIGHER CHEEGER-MÜLLER/BISMUT-ZHANG THEOREM
- On the coefficients of the asymptotic of analytic torsion
- Analytic Torsion for Symmetric Contact Manifolds
BibTeX
@misc{li2026equivariant,
title = {{Equivariant analytic torsion forms}},
author = {Yuxiang Li},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.17960},
eprint = {2610.17960},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.17960},
}
RIS
TY - UNPB
TI - Equivariant analytic torsion forms
AU - Yuxiang Li
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.17960
UR - https://arxiv.org/abs/2610.17960
AB - 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 ∂- and ∂̅-exact forms, in terms of equivariant Bott--Chern currents and the I-genus. Our comparison formula extends that of Bismut and Goette to families.
ER -