Toeplitz operators and the full asymptotic torsion forms
Differential Geometry
2023-01-11 v1
Abstract
This paper aims to study the asymptotic expansion of analytic torsion forms associated with a certain series of flat bundles. We prove the existence of the full expansion and give a formula for the sub-leading term, while Bismut-Ma-Zhang have studied the first-order expansion and expressed the leading term as the integral of a locally computable differential form.
Cite
@article{arxiv.2301.04040,
title = {Toeplitz operators and the full asymptotic torsion forms},
author = {Qiaochu Ma},
journal= {arXiv preprint arXiv:2301.04040},
year = {2023}
}