FORMAL (NON)-COMMUTATIVE SYMPLECTIC GEOMETRY

@inproceedings{Kontsevich1993FORMALS,
  title={FORMAL (NON)-COMMUTATIVE SYMPLECTIC GEOMETRY},
  author={Maxim Kontsevich},
  year={1993}
}
Some time ago B. Feigin, V. Retakh and I had tried to understand a remark of J. Stasheff [S1] on open string theory and higher associative algebras [S2]. Then I found a strange construction of cohomology classes of mapping class groups using as initial data any differential graded algebra with finite-dimensional cohomology and a kind of Poincare duality. 
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