Abstract
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 (C) moduli space vanishes. In the genus one case, this cohomology group is infinite dimensional.
Citation
Jørgen Ellegaard Andersen. Rasmus Villemoes. "The first cohomology of the mapping class group with coefficients in algebraic functions on the $\mathrm{SL}_2(\mathbf{C})$ moduli space." Algebr. Geom. Topol. 9 (2) 1177 - 1199, 2009. https://doi.org/10.2140/agt.2009.9.1177
Information
