The comparison of two constructions of the refined analytic torsion on compact manifolds with boundary

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109293

Title:	The comparison of two constructions of the refined analytic torsion on compact manifolds with boundary
Authors:	黃榮宗;Huang, Rung-Tzung;Lee, Yoonweon
Contributors:	理學院數學系
Keywords:	Eta-invariant;Odd signature operator;Refined analytic torsion;Well-posed boundary condition;Zeta-determinant
Date:	2014-01-01
Issue Date:	2026-04-23 16:24:08 (UTC+8)
Publisher:	Elsevier;Elsevier B.V
Abstract:	摘要： The refined analytic torsion on compact Riemannian manifolds with boundary has been discussed by B. Vertman (Vertman, 2009, 2008) and the authors (Huang and Lee, 2010, 2012) but these two constructions are completely different. Vertman used a double of de Rham complexes consisting of the minimal and maximal closed extensions of a flat connection and the authors used well-posed boundary conditions P−,L0, P+,L1 for the odd signature operator. In this paper we compare these two constructions by using the BFK-gluing formula for zeta-determinants, the adiabatic method for stretching cylinder part near boundary and the result for comparison of eta invariants in Huang and Lee (2012) when the odd signature operator comes from a Hermitian flat connection. 出版者： Elsevier B.V 出版日期： 2014-02-01 出處： Journal of geometry and physics, 2014-02, Vol.76, p.79-96 資源來源： Elsevier ScienceDirect Journals Complete 版權： 2013 Elsevier B.V. 識別號： ISSN: 0393-0440 識別號： EISSN: 1879-1662 識別號： DOI: 10.1016/j.geomphys.2013.10.015
Appears in Collections:	[Department of Mathematics] journal & Dissertation

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	12	View/Open

社群 sharing

Loading...