239 citations · 567 across the 22 of their papers we have counts for
6 papers · 1 filter
Supersymmetry and cohomology of graph complexes
Serguei Barannikov
This is preprint HAL-00429963 (2009). I describe a combinatorial construction of the cohomology classes in compactified moduli spaces of curves $\widehat{Z}_{I}\in H^{*}(\bar{\math…
Modular operads and Batalin-Vilkovisky geometry
Serguei Barannikov
This is a copy of the article published in IMRN (2007). I describe the noncommutative Batalin-Vilkovisky geometry associated naturally with arbitrary modular operad. The classical…
EA-Matrix integrals of associative algebras and equivariant localization
Serguei Barannikov
Preprint HAL-00507788 (2010) from the CNRS open online arxive HAL. The equivariantly closed matrix integrals introduced in [B06], are studied in the case of the graded associative…
Solving the noncommutative Batalin-Vilkovisky equation
Serguei Barannikov
I show that a summation over ribbon graphs with legs gives the construction of the solutions to the noncommutative Batalin-Vilkovisky equation, including the equivariant version. T…
Matrix De Rham complex and quantum A-infinity algebras
Serguei Barannikov
I establish the relation of the non-commutative BV-formalism with super-invariant matrix integration. In particular, the non-commutative BV-equation, defining the quantum A-infinit…
Noncommmutative Batalin-Vilkovisky geometry and Matrix integrals
Serguei Barannikov
We associate the new type of supersymmetric matrix models with any solution to the quantum master equation of the noncommutative Batalin-Vilkovisky geometry. The asymptotic expansi…