Degree one cohomology with twisted coefficients of the mapping class group

Details Degree one cohomology with twisted coefficients of the mapping class group Degree one cohomology with twisted coefficients of the mapping class group

2007-10-11

arxiv.org/abs/0710.2203v1

Mathematics

Differential Geometry

19 pages, 11 figures

Scientific paper

Let $\Gamma$ be the mapping class group of an oriented surface $\Sigma$ of
genus g with r boundary components. We prove that the first cohomology group
$H^1(\Gamma, O(M_{SL(2, C)})^*)$ is non-trivial, where the coefficient module
is the dual of the space of algebraic functions on the $SL(2, C)$ moduli space
over $\Sigma$.

Affiliated with

Also associated with

No associations

Rating

Degree one cohomology with twisted coefficients of the mapping class group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Degree one cohomology with twisted coefficients of the mapping class group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Degree one cohomology with twisted coefficients of the mapping class group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-541657