An explicit view of the Hitchin fibration on the Betti side for P1 minus 5 points

Carlos Simpson (1)

1 LJAD - Laboratoire Jean Alexandre Dieudonné

The dual complex of the divisor at infinity of the character variety of local systems on P^1 − {t1,. .. , t5} with monodromies in prescribed conjugacy classes Ci ⊂ SL2(C), was shown by Komyo to be the sphere S^3. We compare in some detail the projection from a tubular neighborhood to this dual complex, with the corresponding Hitchin fibration at infinity.

Domaines: Géométrie algébrique [math.AG]

Carlos Simpson. An explicit view of the Hitchin fibration on the Betti side for P1 minus 5 points. Jørgen Ellegaard Andersen; Andrew Dancer; Oscar Garcia-Prada. Geometry and Physics: Volume II -- a Festschrift in honour of Nigel Hitchin, Oxford University Press, pp.697-716, 2018, Geometry and Physics: Volume II -- a Festschrift in honour of Nigel Hitchin, 9780198802020. ⟨hal-01473602v2⟩