I need a reference with a proof that the inverse image of SL2(Z) in the universal covering of SL2(R) is the group of the trefoil knot (i.e. the Braid group B3 on 3 strands)
2026-03-25 07:44:33.1774424673
Inverse image of SL2(Z) in universal covering of SL2(R)
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Reference: R. Hain: Lectures on Moduli Spaces of Elliptic Curves, in Transformation Groups and Moduli Spaces of Curves, Advanced Lectures in Mathematics, edited by Lizhen Ji, S.-T. Yau no. 16 (2010), 95–166, Higher Education Press, Beijing, arXiv:0812.1803, Corollary $8.3$.