The gluing formula of the refined analytic torsion for an acyclic Hermitian connection

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109296

Title:	The gluing formula of the refined analytic torsion for an acyclic Hermitian connection
Authors:	黃榮宗;Huang, Rung-Tzung;Lee, Yoonweon
Contributors:	理學院數學系
Keywords:	Algebraic Geometry;Calculus of Variations and Optimal Control;Optimization;Geometry;Lie Groups;Mathematics;Mathematics and Statistics;Number Theory;Topological Groups
Date:	2012-09-01
Issue Date:	2026-04-23 16:24:47 (UTC+8)
Publisher:	Springer New York;Berlin/Heidelberg: Springer-Verlag
Abstract:	摘要： In the previous study by Huang and Lee (arXiv:1004.1753) we introduced the well-posed boundary conditions and for the odd signature operator to define the refined analytic torsion on a compact manifold with boundary. In this paper we discuss the gluing formula of the refined analytic torsion for an acyclic Hermitian connection with respect to the boundary conditions and . In this case the refined analytic torsion consists of the Ray-Singer analytic torsion, the eta invariant and the values of the zeta functions at zero. We first compare the Ray-Singer analytic torsion and eta invariant subject to the boundary condition or with the Ray-Singer analytic torsion subject to the relative (or absolute) boundary condition and eta invariant subject to the APS boundary condition on a compact manifold with boundary. Using these results together with the well known gluing formula of the Ray-Singer analytic torsion subject to the relative and absolute boundary conditions and eta invariant subject to the APS boundary condition, we obtain the main result. 其他題名： manuscripta math 出版者： Berlin/Heidelberg: Springer-Verlag 出版日期： 2012-09 出處： Manuscripta mathematica, 2012-09, Vol.139 (1-2), p.91-122 資源來源： Springer Nature Link Journals 版權： Springer-Verlag 2011 識別號： ISSN: 0025-2611 識別號： EISSN: 1432-1785 識別號： DOI: 10.1007/s00229-011-0504-3
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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