摘要: In Huang and Lee (in The Refined Analytic Torsion and a Well-posed Boundary Condition for the Odd Signature Operator, 2010 ) introduced a pair of new de Rham complexes on a compact oriented Riemannian manifold with boundary by using a pair of global boundary conditions to discuss the refined analytic torsion on a compact manifold with boundary. In this paper we discuss the Lefschetz fixed point formula on these complexes with respect to a smooth map which is a local isometry on the boundary and has only simple fixed points. For this purpose we are going to use the heat kernel method for the Lefschetz fixed point formula. 其他題名: Geom Dedicata 出版者: Dordrecht: Springer Netherlands 出版日期: 2016-04 出處: Geometriae dedicata, 2016-04, Vol.181 (1), p.43-59 版權: Springer Science+Business Media Dordrecht 2015 識別號: ISSN: 0046-5755 識別號: EISSN: 1572-9168 識別號: DOI: 10.1007/s10711-015-0111-7