## Group cohomology calculator

This software can be used to calculate the first group cohomology of SU(2)-representations of fundamental groups of surfaces. Moreover, given a homeomorphism of the underlying surface (as a product of Dehn twists, as a braid, or by its action on the fundamental group), it can calculate the 1-eigenspace of the induced action on the group cohomology at a fixed representations.

### Notes on usage

This software is built in Mathematica which needs to be downloaded for this to run properly. The
main functions are included in the Mathematica package `calculateGroupCohomology.m`

. See also the Mathematica notebook
`groupCohomologyExamples.nb`

for some simple examples on how to use the package.