In this paper we investigate the higher dimensional divergence functions of mapping class groups of surfaces. We show that these functions exhibit phase transitions at the quasi-flat rank (as measured by 3 · genus + number of punctures − 3).
Cite this article
Jason Behrstock, Cornelia Druţu Badea, Higher dimensional divergence for mapping class groups. Groups Geom. Dyn. 13 (2019), no. 3, pp. 1035–1056DOI 10.4171/GGD/513