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arXiv · 1807.04136

Hitchin connection on the Veech curve

Shehryar Sikander
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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.

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Shehryar Sikander. 2018-07-09. Hitchin connection on the Veech curve. https://arxiv.org/abs/1807.04136

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