The non-peripheral curve graph and divergence in big mapping class groups

Assaf Bar-Natan, Yulan Qing, Kasra Rafi

We introduce a numerical invariant $\hat{I}\P (\hat{I}\pounds )$ measuring the end-complexity of $\hat{I}\pounds$ and use it to organize coarse-geometric features of Map($\hat{I}\pounds$). Our main tool is the \emph{non-perip…