Springer New York;Berlin/Heidelberg: Springer-Verlag
摘要:
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
