Second bounded cohomology and WWPD
Group Theory
2025-03-12 v1
Abstract
Given a group acting on a Gromov hyperbolic space, Bestvina and Fujiwara introduced the WPD property --- weak proper discontinuity --- for studying the 2nd bounded cohomology of the group. We carry out a more general study of second bounded cohomology using a 'really' weak property discontinuity property known as WWPD that was introduced by Bestvina, Bromberg, and Fujiwara.
Cite
@article{arxiv.1901.01301,
title = {Second bounded cohomology and WWPD},
author = {Michael Handel and Lee Mosher},
journal= {arXiv preprint arXiv:1901.01301},
year = {2025}
}
Comments
32 pages. This paper was split off from an earlier version (arXiv:1511.06913v4) of our work "Hyperbolic actions and 2nd bounded cohomology of subgroups of Out(F_n). Part I: Infinite lamination subgroups" (arXiv:1511.06913)