Splittings of groups and intersection numbers
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- June 1999
- DOI:
- arXiv:
- arXiv:math/9906004
- Bibcode:
- 1999math......6004S
- Keywords:
-
- Mathematics - Geometric Topology;
- Mathematics - Group Theory;
- 20E06;
- 20E08;
- 20F32;
- 57M07
- E-Print:
- 40 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol4/paper6.abs.html