1997/10/21 by Naichung Conan Leung, Leung, Naichung Conan, Sangkug Yi +1
Mathematics · #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematics and Applications #dg-ga #math.DG
paper · pdf · doi:10.48550/arxiv.dg-ga/9710022
17 pages, LaTex
arxiv created 1997/10/21 · openalex publication_date 1997/10/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we show that the Ray-Singer complex analytic torsion is trivial for even dimensional Calabi-Yau manifolds. Then we define the quaternionic analytic torsion for quaternionic manifolds and prove that they are metric independent. In dimension four, the quaternionic analytic torsion equals to the self-dual analytic torsion. For higher dimensional manifolds, the self-dual analytic torsion is a conformal invariant.