200 citations · 1.6k across the 65 of their papers we have counts for
73 papers
Berezin quantization, conformal welding and the Bott-Virasoro group
A. Alekseev, S. Shatashvili, L. Takhtajan
Following Nag-Sullivan, we study the representation of the group of diffeomorphisms of the circle on the Hilbert space of holomorphic functions. Conformal weldi…
On the coadjoint Virasoro action
Anton Alekseev, Eckhard Meinrenken
The set of coadjoint orbits of the Virasoro algebra at level 1 is in bijection with the set of conjugacy classes in a certain open subset of th…
Towards bosonization of Virasoro coadjoint orbits
Anton Alekseev, Olga Chekeres, Donald R. Youmans
We show that Schwarzian theories associated to certain hyperbolic and parabolic Virasoro coadjoint orbits admit bosonization, i.e. a global -equivariant Darboux chart in which…
Batalin-Vilkovisky structures on moduli spaces of flat connections
Anton Alekseev, Florian Naef, Ján Pulmann +1
Let be a compact oriented 2-manifold (possibly with boundary), and let be the linear span of free homotopy classes of closed oriented curves on equipped with…
Characters, Coadjoint Orbits and Duistermaat-Heckman Integrals
Anton Alekseev, Samson L. Shatashvili
The asymptotics of characters of irreducible representations of a compact Lie group for large values of the scaling factor are given by Duistermaat-Heck…
Action-angle coordinates on coadjoint orbits and multiplicity free spaces from partial tropicalization
Anton Alekseev, Benjamin Hoffman, Jeremy Lane +1
Coadjoint orbits and multiplicity free spaces of compact Lie groups are important examples of symplectic manifolds with Hamiltonian groups actions. Constructing action-angle variab…