期刊
JOURNAL OF FUNCTIONAL ANALYSIS
卷 286, 期 3, 页码 -出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2023.110210
关键词
Analytic torsion; Index theory; Dirac operator; Heat kernel
类别
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.
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.
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