Lefschetz fixed point formula on a compact Riemannian manifold with boundary for some boundary conditions

2014/05/22 by Rung-Tzung Huang, Huang, Rung-Tzung, Yoonweon Lee +1
Mathematics · #58J52 #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #math.DG #msc:58J52

paper · pdf · doi:10.48550/arxiv.1405.5663

11 pages

arxiv created 2014/05/22 · openalex publication_date 2014/05/22 · arxiv updated 2014/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In [8] the authors introduced a pair of new de Rham complexes on a compact oriented Riemannian manifold with boundary by using a pair of new 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 having simple fixed points and satisfying some special condition near the boundary. For this purpose we are going to use the heat kernel method for the Lefschetz fixed point formula.

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