Quasi-homomorphisms on mapping class groups vanishing on a handlebody group
Geometric Topology
2019-07-09 v1
Abstract
We construct infinitely many linearly independent quasi-homomorphisms on the mapping class group of a Riemann surface with genus at least two which vanish on a handlebody subgroup. As a corollary, we disprove a conjecture of Reznikov on bounded width in Heegaard splittings. Another corollary is that there are infinitely many linearly independent quasi-invariants on the Heegaard splittings of three-manifolds.
Keywords
Cite
@article{arxiv.1907.03290,
title = {Quasi-homomorphisms on mapping class groups vanishing on a handlebody group},
author = {Jiming Ma and Jiajun Wang},
journal= {arXiv preprint arXiv:1907.03290},
year = {2019}
}