Higher dimensional isoperimetry and divergence for mapping class groups

The main goal of this paper is to establish bounds for higher dimensional divergence and isoperimetric functions for mapping class groups of surfaces. We show that these families of functions exhibit phase transitions at the rank (as measured by thrice the genus plus the number of punctures minus 3)...

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Bibliographic Details
Main Authors: Behrstock, J, Drutu, C
Format: Journal article
Published: 2013