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Noncommutative cohomological field theories Dotsenko, Vladimir

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I shall introduce a noncommutative version of the notion of a CohFT, where the role of Deligne-Mumford compactifications of moduli spaces is played by toric varieries of Loday's realisations of associahedra. The corresponding noncommutative analogues of Gerstenhaber and Batalin-Vilkovisky algebras will also be discussed. This is a joint work with S.Shadrin and B.Vallette.

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