2014/10/21 by Xianzhe Dai, Dai, Xianzhe, Jianqing Yu +1
Mathematics · #58Jxx #58Kxx #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1410.5876
openalex publication_date 2014/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we establish an equality between the analytic torsion introduced by Dar\citeMR876230 and the orbifold analytic torsion defined by Ma \citeMR2140438 on a compact manifold with isolated conical singularities which in addition has an orbifold structure. We assume the orbifold flat vector bundle is an honest vector bundle, although the metric on the flat bundle may not be flat.