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Formal (Non)-Commutative Symplectic Geometry

  • Maxim Kontsevich

Abstract

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.

Keywords

Modulus Space Poisson Bracket Associative Algebra Euler Characteristic Mapping Class Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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