Abstract |
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 of the mapping class group H1(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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