20 citations · 59 across the 10 of their papers we have counts for
11 papers
Logarithms and deformation quantization
Anton Alekseev, Carlo A. Rossi, Charles Torossian +1
We prove the statement/conjecture of M. Kontsevich on the existence of the logarithmic formality morphism. This question was open since 1999, and the main obstacle was the presence…
Biquantization of symmetric pairs and the quantum shift
Alberto S. Cattaneo, Carlo A. Rossi, Charles Torossian
The biquantization of symmetric pairs was studied in Cattaneo and Torossian in terms of Kontsevich-like graphs. This paper, also in view of recent results in Calaque et al, amends…
On triviality of the Kashiwara-Vergne problem for quadratic Lie algebras
Anton Alekseev, Charles Torossian
We show that the Kashiwara-Vergne (KV) problem for quadratic Lie algebras (that is, Lie algebras admitting an invariant scalar product) reduces to the problem of representing the C…
Kontsevich deformation quantization and flat connections
A. Alekseev, C. Torossian
In arXiv:math/0105152, the second author used the Kontsevich deformation quantization technique to define a natural connection ω_n on the compactified configuration spaces of n poi…
Drinfeld associators, braid groups and explicit solutions of the Kashiwara-Vergne equations
A. Alekseev, B. Enriquez, C. Torossian
The Kashiwara-Vergne (KV) conjecture states the existence of solutions of a pair of equations related with the Campbell-Baker-Hausdorff series. It was solved by Meinrenken and the…
The Kashiwara-Vergne conjecture and Drinfeld's associators
Anton Alekseev, Charles Torossian
The Kashiwara-Vergne (KV) conjecture is a property of the Campbell-Hausdorff series put forward in 1978. It has been settled in the positive by E. Meinrenken and the first author i…