The first cohomology of the mapping class group with coefficients in algebraic functions on the SL(2, C) moduli space

Details The first cohomology of the mapping class group with coefficients in algebraic functions on the SL(2, C) moduli space The first cohomology of the mapping class group with coefficients in algebraic functions on the SL(2, C) moduli space

2008-02-29

arxiv.org/abs/0802.4372v1

Mathematics

Differential Geometry

Scientific paper

Consider a compact surface of genus at least two. We prove that the first
cohomology group of the mapping class group with coefficients in the space of
algebraic functions on the SL(2, C) moduli space vanishes.

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