Quaternionic analytic torsion

Details Quaternionic analytic torsion Quaternionic analytic torsion

2001-05-11

arxiv.org/abs/math/0105103v1

Mathematics

Differential Geometry

22 pages; requires Waldi's symbol font wasysym (included in teTeX)

Scientific paper

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.

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