The cup product of Brooks quasimorphisms
Group Theory
2017-11-06 v2 Geometric Topology
Abstract
We prove the vanishing of the cup product of the bounded cohomology classes associated to any two Brooks quasimorphisms on the free group. This is a consequence of the vanishing of the square of a universal class for tree automorphism groups.
Keywords
Cite
@article{arxiv.1710.02392,
title = {The cup product of Brooks quasimorphisms},
author = {Michelle Bucher and Nicolas Monod},
journal= {arXiv preprint arXiv:1710.02392},
year = {2017}
}
Comments
7 pages