6 citations · 12 across the 5 of their papers we have counts for
5 papers
Symplectic geometry of Teichmüller spaces for surfaces with ideal boundary
Anton Alekseev, Eckhard Meinrenken
A hyperbolic 0-metric on a surface with boundary is a hyperbolic metric on its interior, exhibiting the boundary behavior of the standard metric on the Poincaré disk. Consider the…
Dirac structures and Dixmier-Douady bundles
A. Alekseev, E. Meinrenken
A Dirac structure on a vector bundle V is a maximal isotropic subbundle E of the direct sum of V with its dual. We show how to associate to any Dirac structure a Dixmier-Douady bun…
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…
Poisson geometry and the Kashiwara-Vergne conjecture
A. Alekseev, E. Meinrenken
We give a Poisson-geometric proof of the Kashiwara-Vergne conjecture for quadratic Lie algebras, based on the equivariant Moser trick.
Quasi-Poisson Manifolds
Anton Alekseev, Yvette Kosmann-Schwarzbach, Eckhard Meinrenken
A quasi-Poisson manifold is a G-manifold equipped with an invariant bivector field whose Schouten bracket is the trivector field generated by the invariant element in $\wedge^3 \g$…