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articleDate
2014-10Author
Aougab, TarikTaylor, Samuel J
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http://hdl.handle.net/20.500.12613/5870
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10.1112/blms/bdu057Abstract
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.Citation to related work
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BULLETIN OF THE LONDON MATHEMATICAL SOCIETYADA compliance
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http://dx.doi.org/10.34944/dspace/5852