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arXiv · 0907.1633

A Hyperelliptic View on Teichmuller Space. II

Sasha Anan'in
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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 π_1,π_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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Sasha Anan'in. 2009-07-09. A Hyperelliptic View on Teichmuller Space. II. https://arxiv.org/abs/0907.1633

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