Hitchin connection on the Veech curve
Algebraic Geometry
2018-07-26 v2 Mathematical Physics
math.MP
Abstract
We give an expression for the pull back of the Hitchin connection from the moduli space of genus two curves to a ten-fold covering of a Teichm\"uller curve discovered by Veech. We then give an expression, in terms of iterated integrals, for the monodromy representation of this connection. As a corollary we obtain quantum representations of infinitely many pseudo-Anosov elements in the genus two mapping class group.
Cite
@article{arxiv.1807.04136,
title = {Hitchin connection on the Veech curve},
author = {Shehryar Sikander},
journal= {arXiv preprint arXiv:1807.04136},
year = {2018}
}
Comments
Acknowledgements added. Minor typos corrected