|Princeton/IAS/Columbia Symplectic Geometry Seminar|
|Topic:||Koszul duality patterns in Floer theory|
|Affiliation:||University of Illinois, Chicago|
|Date:||Friday, March 13|
|Time/Room:||2:30pm - 3:30pm/Math 407, Columbia University|
We study symplectic invariants of the open symplectic manifolds $X$ obtained by plumbing cotangent bundles of spheres according to a plumbing tree. We prove that certain models for the Fukaya category $\mathcal F(X)$ of closed exact Lagrangians in $X$ and the wrapped Fukaya category $\mathcal W(X)$ are related by Koszul duality. As an application, we give explicit computations of symplectic cohomology for the vast majority of these symplectic manifolds (including the case of $A_n$-Milnor fibres). This is joint work with Tolga Etgü.