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Geometric Topology of Knots

Census building using Twister and SnapPy

speaker: Saul Schleimer (University of Warwick)

abstract: This is joint work with Tracy Hall and Mark Bell. We have written a computer program called Twister that builds three-manifolds based on Dehn twist and half twist data. After reviewing previous censuses, I will briefly discuss the inner workings of Twister. Feeding the output of Twister into SnapPy one can rapidly get censuses of hyperbolic manifolds: for example all genus 2 surfaces bundles over the circle with pseudo-Anosov monodromy of length at most 10. As another application, Mark Bell has found "canonical" monodromies for 40% of the fibered knots listed at KnotInfo.

timetable:
Thu 26 May, 11:15 - 12:00, Aula Dini
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