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• W1915705587 abstract "Let M be an exact symplectic manifold with c1(M)=0. Denote by Fuk(M) the Fukaya category of M. We show that the dual space of the bar construction of Fuk(M) has a differential graded noncommutative Poisson structure. As a corollary we get a Lie algebra structure on the cyclic cohomology HC•(Fuk(M)), which is analogous to the ones discovered by Kontsevich in noncommutative symplectic geometry and by Chas and Sullivan in string topology." @default.
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• W1915705587 date "2015-12-01" @default.
• W1915705587 modified "2023-10-14" @default.
• W1915705587 title "A double Poisson algebra structure on Fukaya categories" @default.
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• W1915705587 doi "https://doi.org/10.1016/j.geomphys.2015.07.027" @default.
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