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Teichmueller disk and the $\mathrm{SL}_2\mathbb{R}$ action
Let $(X,\omega)$ be a Riemann surface of genus $g$ with holomorphic 1-form $\omega$ (or equivalently a translation structure). Let $\Omega\mathcal{T}_g$ be the space of holomorphic 1-forms over genus …
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Teichmueller disk and the $\mathrm{SL}_2\mathbb{R}$ action
I have found an answer to my question with which I am satisfied by studying the original paper of Veech: Teichmuller curves in moduli space, Eisenstein series adn an application to triangular billiard …