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The symplectic arc algebra is formal
(Duke University PressDuke Mathematical Journal, 2016-01-28)
We prove a formality theorem for the Fukaya categories of the symplectic manifolds underlying symplectic Khovanov cohomology over fields of characteristic zero. The key ingredient is the construction of a degree-one ...
The monotone wrapped Fukaya category and the open-closed string map
(SpringerSelecta Mathematica, 2016-08-09)
We build the wrapped Fukaya category $\textit{W}$($\textit{E}$)for any monotone symplectic manifold $\textit{E}$, convex at infinity. We define the open-closed and closed-open string maps, OC : HH$_{*}$($\textit{W}$($\textit{E}$)) ...