Mapping class group invariant unitarity of the Hitchin connection over Teichm\"uller space
Differential Geometry
2012-06-13 v1 Quantum Algebra
Abstract
We provide a geometric construction of the unitary structure which is projectively preserved by the Hitchin connection. We analyze the asymptotic behavior of it and we establish that it is uniformly in the level equivalent to the Hermitian structure induced by the L2 inner product on smooth sections.
Cite
@article{arxiv.1206.2635,
title = {Mapping class group invariant unitarity of the Hitchin connection over Teichm\"uller space},
author = {Jørgen Ellegaard Andersen},
journal= {arXiv preprint arXiv:1206.2635},
year = {2012}
}