Quaternionic analytic torsion
微分几何
2007-05-23 v1 谱理论
摘要
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.
引用
@article{arxiv.math/0105103,
title = {Quaternionic analytic torsion},
author = {Kai Koehler and Gregor Weingart},
journal= {arXiv preprint arXiv:math/0105103},
year = {2007}
}
备注
22 pages; requires Waldi's symbol font wasysym (included in teTeX)