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 2010
  • Mathematics
  • Comptes Rendus Mathematique
Abstract I study the new type of supersymmetric matrix models associated with any solution to the quantum master equation of the noncommutative Batalin–Vilkovisky geometry. The asymptotic expansion of the matrix integrals gives homology classes in the Kontsevich compactification of the moduli spaces, which I associated with the solutions to the quantum master equation in my previous paper. I associate with the Bernstein–Leites matrix superalgebra equipped with an odd differentiation, whose… Expand

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