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Deformation Theory Seminar

Wednesday, March 4, 2015 - 2:00pm

Kate Poirier

NYC College of Tech-CUNY

Location

University of Pennsylvania

4C2 DRL

String topology studies algebraic invariants of manifolds arising from intersecting loops in the manifolds. Traditionally, the algebraic structure is phrased in terms of an action of the homology of the moduli space of Riemann surfaces on the homology of the free loop space of the manifold. It is expected that this action should be induced by an action of the chains on a compactification of moduli space on the chains of the free loop space. In this talk, we report on current work in progress with G.C. Drummond-Cole and N. Rounds describing such an action on chains.