Degree one cohomology with twisted coefficients of the mapping class group - Mathematics > Differential GeometryReport as inadecuate




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Abstract: Let $\Gamma$ be the mapping class group of an oriented surface $\Sigma$ ofgenus g with r boundary components. We prove that the first cohomology group$H^1\Gamma, OM {SL2, C}^*$ is non-trivial, where the coefficient moduleis the dual of the space of algebraic functions on the $SL2, C$ moduli spaceover $\Sigma$.



Author: Jørgen Ellegaard Andersen, Rasmus Villemoes

Source: https://arxiv.org/







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