3 citations · 3 across the 1 of their papers we have counts for
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Experimental statistics for Mirzakhani's Theorem
Mark C Bell
In her seminal 2008 paper, Maryam Mirzakhani showed that the ratio that two topological types of curves occur in is a rational number. In this paper we describe the process by whic…
Applications of fast triangulation simplification
Mark C. Bell, Richard C. H. Webb
We describe a new algorithm to compute the geometric intersection number between two curves, given as edge vectors on an ideal triangulation. Most importantly, this algorithm runs…
Simplifying triangulations
Mark C. Bell
We give a new algorithm to simplify a given triangulation with respect to a given curve. The simplification uses flips together with powers of Dehn twists in order to complete in p…
The monodromies of homogeneous links
Mark Bell
We show that there are only finitely many homogeneous links whose Conway polynomial has any given degree. Using this we give an example of an inhomogeneous, fibred knot. Secondly,…