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 SL2(C) moduli space vanishes. In the genus one case, this cohomology group is infinite dimensional.
| Original language | English |
|---|---|
| Journal | Algebraic & Geometric Topology |
| Volume | 9 |
| Issue number | 2 |
| Pages (from-to) | 1177-1199 |
| Number of pages | 23 |
| ISSN | 1472-2747 |
| DOIs | |
| Publication status | Published - 2009 |
| Externally published | Yes |