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Pré-Publication, Document De Travail Année : 2017

AN EXPLICIT VIEW OF THE HITCHIN FIBRATION ON THE BETTI SIDE FOR P1 MINUS 5 POINTS

Carlos Simpson

Résumé

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.
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Dates et versions

hal-01473602 , version 1 (22-02-2017)
hal-01473602 , version 2 (25-02-2017)

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  • HAL Id : hal-01473602 , version 1

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Carlos Simpson. AN EXPLICIT VIEW OF THE HITCHIN FIBRATION ON THE BETTI SIDE FOR P1 MINUS 5 POINTS. 2017. ⟨hal-01473602v1⟩
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