Date: Thursday, March 21, 2013
Location: 3866 East Hall (12:00 AM to 12:00 AM)
Title: Homological Shadows of Attracting laminations
Abstract: Let $S$ be a surface with punctures, and let $f \in Mod(S)$ be a pseudo-Anosov mapping class. Associated to f is an attracting lamination $L$, which is the limit under the forward orbit of $f$ of any closed curve on $S$. We address the following question - is there a natural way to associate to $L$ some natural object in the homology of $S$? If so, can it be described using some limiting process? What would such an object tell us about $f$? We show that there is indeed such an object, and that it possesses a surprising amount of structure. For instance, if $f$ is in the Torelli group, then the homological lamination will be a convex polyhedron with rational vertices.
Speaker: Asaf Hadari
Institution: Yale
Event Organizer:
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