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Formal (Non)-Commutative Symplectic Geometry

In: The Gelfand Mathematical Seminars, 1990–1992

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  • Maxim Kontsevich

    (Max-Planck-Institut für Mathematik)

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.

Suggested Citation

  • Maxim Kontsevich, 1993. "Formal (Non)-Commutative Symplectic Geometry," Springer Books, in: Israel M. Gelfand & Lawrence Corwin & James Lepowsky (ed.), The Gelfand Mathematical Seminars, 1990–1992, pages 173-187, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0345-2_11
    DOI: 10.1007/978-1-4612-0345-2_11
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