An explicit view of the Hitchin fibration on the Betti side for P1 minus 5 points
Abstract
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.
Domains
Algebraic Geometry [math.AG]
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