An algebraic generalization of Giroux’s criterion

Russell Avdek (Uppsala University)

Monday 17th October, 2022 16:00-17:00 Maths 311B


I’ll talk about convex hypersurfaces H in contact manifolds, focusing on the case dim(H) = 4. Every H can be represented as a relation between products of positive Dehn twists on a surface, making it easy to find interesting examples. It is an open (and seemingly difficult) problem to determine when H has a tight neighborhood. I’ll describe a solution to an algebraic version of this problem using contact homology and work out some computations, including for the lantern relation.

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