Abstract

Abstract:

Let $S$ be a closed orientable hyperbolic surface, and let $\cal{O}(K,S)$ denote the number of mapping class group orbits of curves on $S$ with at most $K$ self-intersections. Building on work of Sapir, we give upper and lower bounds for $\cal(K,S)$ which are both exponential in $\sqrt{K}$.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1423-1441
Launched on MUSE
2018-11-20
Open Access
No
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