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Formal (Non)-Commutative Symplectic Geometry

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The Gelfand Mathematical Seminars, 1990–1992

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.

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Kontsevich, M. (1993). Formal (Non)-Commutative Symplectic Geometry. In: Gelfand, I.M., Corwin, L., Lepowsky, J. (eds) The Gelfand Mathematical Seminars, 1990–1992. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0345-2_11

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  • DOI: https://doi.org/10.1007/978-1-4612-0345-2_11

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6717-1

  • Online ISBN: 978-1-4612-0345-2

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