Quaternionic analytic torsion
Differential Geometry
2007-05-23 v1 Spectral Theory
Abstract
We define an (equivariant) quaternionic analytic torsion for antiselfdual vector bundles on quaternionic Kaehler manifolds, using ideas by Leung and Yi. We compute this torsion for vector bundles on quaternionic homogeneous spaces with respect to any isometry in the component of the identity, in terms of roots and Weyl groups.
Cite
@article{arxiv.math/0105103,
title = {Quaternionic analytic torsion},
author = {Kai Koehler and Gregor Weingart},
journal= {arXiv preprint arXiv:math/0105103},
year = {2007}
}
Comments
22 pages; requires Waldi's symbol font wasysym (included in teTeX)