Back to Search
Start Over
Stable lengths on the pants graph are rational.
- Source :
-
New York Journal of Mathematics . 2015, Vol. 21, p1153-1168. 16p. - Publication Year :
- 2015
-
Abstract
- For the pants graph, there is little known about the behaviour of geodesics, as opposed to quasi-geodesics. Brock-Masur- Minsky showed that geodesics or geodesic segments connecting endpoints satisfying a bounded combinatorics condition, such as the stable/ unstable laminations of a pseudo-Anosov, all have bounded combinatorics, outside of annuli. In this paper it is shown that there exist geodesics that also have bounded combinatorics within annuli. These geodesics are shown to have finiteness properties analogous to those of tight geodesics in the complex of curves, from which rationality of stable lengths of pseudo-Anosovs acting on the pants graph then follows from the arguments of Bowditch for the curve complex. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10769803
- Volume :
- 21
- Database :
- Academic Search Index
- Journal :
- New York Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 113655346