Show simple item record

dc.creatorAougab, Tarik
dc.creatorTaylor, Samuel J
dc.date.accessioned2021-02-03T18:53:45Z
dc.date.available2021-02-03T18:53:45Z
dc.date.issued2014-10
dc.identifier.issn0024-6093
dc.identifier.issn1469-2120
dc.identifier.doihttp://dx.doi.org/10.34944/dspace/5852
dc.identifier.otherAQ8OT (isidoc)
dc.identifier.urihttp://hdl.handle.net/20.500.12613/5870
dc.description.abstractLet $S_{g,p}$ 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.extent989-1002
dc.language.isoen
dc.relation.haspartBULLETIN OF THE LONDON MATHEMATICAL SOCIETY
dc.relation.isreferencedbyWiley
dc.subjectmath.GT
dc.subjectmath.GT
dc.titleSmall intersection numbers in the curve graph
dc.typeArticle
dc.type.genrearticle
dc.relation.doi10.1112/blms/bdu057
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.date.updated2021-02-03T18:53:42Z
refterms.dateFOA2021-02-03T18:53:45Z


Files in this item

Thumbnail
Name:
1310.4711v2.pdf
Size:
627.4Kb
Format:
PDF

This item appears in the following Collection(s)

Show simple item record