Yohsuke Watanabe
Published 2014-07-11, updated 2014-11-12Version 2
A classical inequality which is due to Lickorish and Hempel says that the distance between two curves in the curve complex can be measured in terms of their intersection number. In this paper, we show that the intersection number of two curves can be measured in terms of the sum of all large subsurface projection distances between them.
Comments: 25 pages. In v1, Theorem 1.3 was written for a general surface, since there was a mistake in the proof, now I have Theorem 1.4
Homeomorphisms and intersection number
The symmetry of intersection numbers in group theory
$\partial$-reducible handle additions
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