Higher dimensional divergence for mapping class groups

  • Jason Behrstock

    City University of New York, Bronx, USA
  • Cornelia Druţu Badea

    University of Oxford, UK
Higher dimensional divergence for mapping class groups cover
Download PDF

A subscription is required to access this article.

Abstract

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. 1035–1056

DOI 10.4171/GGD/513