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math.QA2010★ 6 cited
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…
math.QA2010★ 3 cited
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…