Analytic Torsion for Quaternionic manifolds and related topics
Abstract
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.