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Deligne-Hodge polynomials for SL(2,C)-character varieties of genus 1 and 2.

Deligne-Hodge polynomials for SL(2,C)-character varieties of genus 1 and 2.

Update: 2011-07-01
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We give a method to compute Deligne-Hodge polinomials for various SL(2,C)-character varieties, with fixed conjugacy classes equal to Id, -Id, diagonal and Jordan type matrices. We will split them into suitable stratifications and analyze the behaviour of the polynomial for them. This is joint work with V. Mu~noz and P. Newstead.
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Deligne-Hodge polynomials for SL(2,C)-character varieties of genus 1 and 2.

Deligne-Hodge polynomials for SL(2,C)-character varieties of genus 1 and 2.

Cambridge University