Free subgroups within the images of quantum representations

Louis Funar (1) , Toshitake Kohno (2)

1 IF - Institut Fourier
2 UTokyo - The University of Tokyo

We prove that, except for a few explicit roots of unity, the quantum image of any Johnson subgroup of the mapping class group contains an explicit free non-abelian subgroup.

Domaines: Topologie géométrique [math.GT]; Théorie des groupes [math.GR]

Louis Funar, Toshitake Kohno. Free subgroups within the images of quantum representations. Forum Mathematicum, 2014, 26 (2), pp.337-355. ⟨10.1515/FORM.2011.162⟩. ⟨hal-01702826⟩