On the coarse geometry of Teichmueller space

Ken Shackleton (IPMU/University of Tokyo)

Abstract: We discuss the synthetic geometry of the pants graph in comparison with the Weil-Petersson metric, whose geometry the pants graph coarsely models following work of Brock. We also restrict our attention to the 5-holed sphere, studying the Gromov bordification of the pants graph and the dynamics of pseudo-Anosov mapping classes.