JournalsggdVol. 13, No. 3pp. 1035–1056

Higher dimensional divergence for mapping class groups

  • Jason Behrstock

    City University of New York, Bronx, USA

  • Cornelia Druţu

    University of Oxford, UK
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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, Higher dimensional divergence for mapping class groups. Groups Geom. Dyn. 13 (2019), no. 3, pp. 1035–1056

DOI 10.4171/GGD/513