Degree one cohomology with twisted coefficients of the mapping class group
نویسندگان
چکیده
Let Γ be the mapping class group of an oriented surface Σ of genus g with r boundary components. We prove that the first cohomology group H(Γ,O(MSL2(C)) ∗) is non-trivial, where the coefficient module is the dual of the space of algebraic functions on the SL2(C) moduli space over Σ.
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