Toeplitz operators and the full asymptotic torsion forms

This paper aims to study the asymptotic expansion of analytic torsion forms associated with a certain series of flat bundles {Fp}(p is an element of N*). 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. (c) 2023 Elsevier Inc. All rights reserved.

Automated summary

This paper studies the asymptotic expansion of analytic torsion forms associated with a certain series of flat bundles, proving the existence of the full expansion and providing a formula for the sub-leading term. In comparison to previous studies, we delve into the first order expansion and express the leading term as the integral of a locally computable differential form.