Geodesic
The first cohomology of the mapping class group with coefficients in algebraic functions on the SL2(C) moduli space
Andersen, Jørgen Ellegaard1 ; Villemoes, Rasmus1
1 Department of Mathematics, University of Aarhus, 8000 Aarhus C, Denmark
Algebraic and Geometric Topology, Tome 9 (2009) no. 2, pp. 1177-1199

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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 SL2(C) moduli space vanishes. In the genus one case, this cohomology group is infinite dimensional.

DOI : 10.2140/agt.2009.9.1177
Keywords: group cohomology, mapping class group, flat connection, moduli space

Andersen, Jørgen Ellegaard 1 ; Villemoes, Rasmus 1

1 Department of Mathematics, University of Aarhus, 8000 Aarhus C, Denmark 
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Andersen, Jørgen Ellegaard; Villemoes, Rasmus. The first cohomology of the mapping class group with coefficients in algebraic functions on the SL2(C) moduli space. Algebraic and Geometric Topology, Tome 9 (2009) no. 2, pp. 1177-1199. doi: 10.2140/agt.2009.9.1177

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