Non-trivial action of the Johnson filtration on the homology of configuration spaces

Andrea Bianchi, Andreas Stavrou

We let the mapping class group ${\Gamma }_{g,1}$ of a genus $g$ surface ${\Sigma }_{g,1}$ with one boundary component act on the homology $H_{\ast }(F_n({\Sigma }_{g,1});\mathbb{Q})$ of the $n^{th}$ ordered c…