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arXiv · 2212.10157

$SL(2,\mathbb{Z})$, les tresses \`a trois brins et le tore modulaire

Alexis Marin
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Abstract

The action of $SL(2,\mathbb{Z})$ on the integer torus and its quotient by central symmetry and Artin's presentation of three strings braids, produces a presentation with parabolic generators $\pmatrix{1& -1\cr 0& 1\cr}$ and $\pmatrix{1& 0\cr 1& 1\cr}$ and describes the action of the derived group on Poincar\'e's half plane.

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Alexis Marin. 2022-12-20. $SL(2,\mathbb{Z})$, les tresses \`a trois brins et le tore modulaire. https://arxiv.org/abs/2212.10157

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