Formal (Non)-Commutative Symplectic Geometry

  • Maxim Kontsevich


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 Poincaré duality.


Modulus Space Poisson Bracket Associative Algebra Euler Characteristic Mapping Class Group 
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Maxim Kontsevich
    • 1
  1. 1.Max-Planck-Institut für MathematikBonn 3Germany

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