GÖKOVA GEOMETRY / TOPOLOGY PROCEEDINGS

Published in Proceedings of Gökova Geometry-Topology Conference 2010
Title Degree one cohomology with twisted coefficients of the mapping class group
Authors Jorgen Ellegaard Andersen and Rasmus Villemoes
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.
Keywords Mapping class group, group cohomology, moduli spaces, multicurves
Pages64-78
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