A Double Poisson Algebra Structure on Fukaya Categories

Xiaojun Chen, Hai-Long Her, Shanzhong Sun +1

Let $M$ be an exact symplectic manifold with $c_1(M)=0$. Denote by $\mathrm{Fuk}(M)$ the Fukaya category of $M$. We show that the dual space of the bar construction of $\mathrm{Fuk…