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