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