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Hodge-Deligne polynomials of SL(2,C)-character varieties for curves of small genus

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 نشر من قبل Vicente Munoz
 تاريخ النشر 2011
  مجال البحث
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We compute the Hodge-Deligne polynomials of the moduli spaces of representations of the fundamental group of a complex surface into SL(2,C), for the case of small genus g, and allowing the holonomy around a fixed point to be any matrix of SL(2,C), that is Id, -Id, diagonalisable, or of either of the two Jordan types. For this, we introduce a new geometric technique, based on stratifying the space of representations, and on the analysis of the behaviour of the Hodge-Deligne polynomial under fibrations.



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