Noncommutative Batalin-Vilkovisky geometry and matrix integrals

@article{Barannikov2010NoncommutativeBG,
  title={Noncommutative Batalin-Vilkovisky geometry and matrix integrals},
  author={S. Barannikov},
  journal={Comptes Rendus Mathematique},
  year={2010},
  volume={348},
  pages={359-362}
}
  • S. Barannikov
  • Published 30 December 2009
  • Mathematics
  • Comptes Rendus Mathematique

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Ideas from quantum field theory and string theory have had considerable impact on mathematics over the past 20 years. Advances in many different areas have been inspired by insights from physics. In

Feynman Diagrams and Low-Dimensional Topology

We shall describe a program here relating Feynman diagrams, topology of manifolds, homotopical algebra, non-commutative geometry and several kinds of “topological physics.”

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We develop a \higher genus" analogue of operads, which we call modular operads, in which graphs replace trees in the deenition. We study a functor F on the category of modular operads, the Feynman

The superalgebra Q(n), the odd trace, and the odd determinant

  • Dokl. Bolg. Akad. Nauk
  • 1982

rue d'Ulm 75230, Paris, France E-mail address : sergueibar@gmail.com hal-00102085

  • rue d'Ulm 75230, Paris, France E-mail address : sergueibar@gmail.com hal-00102085
  • 2009

E-mail address : sergueibar@gmail

    Supersymmetric matrix integrals and model

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