Analytic Torsion for Quaternionic manifolds and related topics

Details Analytic Torsion for Quaternionic manifolds and related topics Analytic Torsion for Quaternionic manifolds and related topics

1997-10-21

arxiv.org/abs/dg-ga/9710022v1

Mathematics

Differential Geometry

17 pages, LaTex

Scientific paper

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.

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