Small intersection numbers in the curve graph
dc.creator | Aougab, Tarik | |
dc.creator | Taylor, Samuel J | |
dc.date.accessioned | 2021-02-03T18:53:45Z | |
dc.date.available | 2021-02-03T18:53:45Z | |
dc.date.issued | 2014-10 | |
dc.identifier.issn | 0024-6093 | |
dc.identifier.issn | 1469-2120 | |
dc.identifier.doi | http://dx.doi.org/10.34944/dspace/5852 | |
dc.identifier.other | AQ8OT (isidoc) | |
dc.identifier.uri | http://hdl.handle.net/20.500.12613/5870 | |
dc.description.abstract | Let $S_{g,p}$ denote the genus $g$ orientable surface with $p \ge 0$ punctures, and let $\omega(g,p)= 3g+p-4$. We prove the existence of infinitely long geodesic rays $\left\{v_{0},v_{1}, v_{2}, ...\right\}$ in the curve graph satisfying the following optimal intersection property: for any natural number $k$, the endpoints $v_{i},v_{i+k}$ of any length $k$ subsegment intersect $O(\omega^{k-2})$ times. By combining this with work of the first author, we answer a question of Dan Margalit. | |
dc.format.extent | 989-1002 | |
dc.language.iso | en | |
dc.relation.haspart | BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | |
dc.relation.isreferencedby | Wiley | |
dc.subject | math.GT | |
dc.subject | math.GT | |
dc.title | Small intersection numbers in the curve graph | |
dc.type | Article | |
dc.type.genre | article | |
dc.relation.doi | 10.1112/blms/bdu057 | |
dc.ada.note | For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu | |
dc.date.updated | 2021-02-03T18:53:42Z | |
refterms.dateFOA | 2021-02-03T18:53:45Z |