On closed leaves of foliations, multisections and stable commutator lengths
Geometric Topology
2012-02-01 v1 Algebraic Topology
Group Theory
Abstract
We give examples of foliations that answer two questions posed by Mitsumatsu and Vogt about the genus minimising properties of closed leaves of 2-dimensional foliations on 4-manifolds. By studying stable commutator lengths in certain stable mapping class groups, we also answer an asymptotic version of another question of theirs concerning bounds on self-intersection numbers of multisections in surface bundles.
Keywords
Cite
@article{arxiv.1105.4444,
title = {On closed leaves of foliations, multisections and stable commutator lengths},
author = {Jonathan Bowden},
journal= {arXiv preprint arXiv:1105.4444},
year = {2012}
}
Comments
16 pages