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Finding geodesics in the curve complex

Geometry of mapping class groups and Out(Fn) October 25, 2016 - October 28, 2016

October 26, 2016 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Mark Bell (University of Illinois at Urbana-Champaign)
Location: MSRI: Simons Auditorium



We will discuss a new algorithm for computing geodesics in the curve complex. This uses a refinement of the ideas of Masur-Minsky, Leasure, Shackleton, Watanabe and Webb to ensure such geodesics are found in polynomial time (in terms of their length). One corollary of this is a new (polynomial-time) algorithm to determine the Nielsen--Thurston type of a mapping class. This is joint work with Richard Webb.

27139?type=thumb Bell.Notes 691 KB application/pdf Download
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