A Hyperelliptic View on Teichmuller Space. II
Geometric Topology
2009-07-10 v1
Abstract
Using the methods of the previous paper [ABG], we show that the Teichmuller space T of all closed Riemann surfaces is fibred twice over the Teichmuller space H of hyperelliptic ones. Both fibre bundles \pi_1,\pi_2:T->H are real algebraic (rational). They define an embedding T->HxH. In addition, we indicate slight modifications of the proof of [ABG, Theorem 5.1] providing an elementary proof of Toledo's rigidity theorem.
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Cite
@article{arxiv.0907.1633,
title = {A Hyperelliptic View on Teichmuller Space. II},
author = {Sasha Anan'in},
journal= {arXiv preprint arXiv:0907.1633},
year = {2009}
}
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9 pages