37 citations · 59 across the 6 of their papers we have counts for
6 papers
Poisson bundles over unordered configurations
Alessandra Frabetti, Olga Kravchenko, Leonid Ryvkin
In this paper we construct a Poisson algebra bundle whose distributional sections are suitable to represent multilocal observables in classical field theory. To do this, we work wi…
Diassociative algebras and Milnor's invariants for tangles
Olga Kravchenko, Michael Polyak
We extend Milnor's mu-invariants of link homotopy to ordered (classical or virtual) tangles. Simple combinatorial formulas for mu-invariants are given in terms of counting trees in…
Strongly homotopy Lie bialgebras and Lie quasi-bialgebras
Olga Kravchenko
Structures of Lie algebras, Lie coalgebras, Lie bialgebras and Lie quasibialgebras are presented as solutions of Maurer-Cartan equations on corresponding governing differential gra…
How to calculate the Fedosov star--product (Exercices de style)
Olga Kravchenko
This is an expository note on Fedosov's construction of deformation quantization. Given a symplectic manifold and a connection on it, we show how to calculate the star-product step…
Deformations of Batalin-Vilkovisky algebras
Olga Kravchenko
We show that a graded commutative algebra A with any square zero odd differential operator is a natural generalization of a Batalin-Vilkovisky algebra. While such an operator of or…
Deformation Quantization of Symplectic Fibrations
Olga Kravchenko
A symplectic fibration is a fibre bundle in the symplectic category. We find the relation between deformation quantization of the base and the fibre, and the total space. We use th…