4 citations · 14 across the 7 of their papers we have counts for
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Cohomology of mapping class groups and the abelian moduli space
Jørgen Ellegaard Andersen, Rasmus Villemoes
We consider a surface of genus , either closed or with exactly one puncture. The mapping class group of acts symplectically on the abelian moduli space $M = \…
The first cohomology of the mapping class group with coefficients in algebraic functions on the SL(2, C) moduli space
Jørgen Ellegaard Andersen, Rasmus Villemoes
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 S…
The mapping class group orbit of a multicurve
Rasmus Villemoes
Given a set equipped with a transitive action of a group, we define the notion of an almost invariant coloring of the set. We consider the mapping class group orbit of a multicurve…
Degree one cohomology with twisted coefficients of the mapping class group
Jørgen Ellegaard Andersen, Rasmus Villemoes
Let be the mapping class group of an oriented surface of genus g with r boundary components. We prove that the first cohomology group is non-tri…