Splittings of groups and intersection numbers
Geometric Topology
2014-11-11 v3 Group Theory
Abstract
We prove algebraic analogues of the facts that a curve on a surface with self-intersection number zero is homotopic to a cover of a simple curve, and that two simple curves on a surface with intersection number zero can be isotoped to be disjoint.
Cite
@article{arxiv.math/9906004,
title = {Splittings of groups and intersection numbers},
author = {Peter Scott and Gadde A. Swarup},
journal= {arXiv preprint arXiv:math/9906004},
year = {2014}
}
Comments
40 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol4/paper6.abs.html