46 citations · 63 across the 4 of their papers we have counts for
4 papers
Dirac Geometry of the Holonomy Fibration
Alejandro Cabrera, Marco Gualtieri, Eckhard Meinrenken
In this paper, we solve the problem of giving a gauge-theoretic description of the natural Dirac structure on a Lie Group which plays a prominent role in the theory of D- branes fo…
Pure Spinors on Lie groups
Anton Alekseev, Henrique Bursztyn, Eckhard Meinrenken
For any manifold M, the direct sum TM \oplus T*M carries a natural inner product given by the pairing of vectors and covectors. Differential forms on M may be viewed as spinors for…
On the Kashiwara-Vergne conjecture
A. Alekseev, E. Meinrenken
Let be a connected Lie group, with Lie algebra . In 1977, Duflo constructed a homomorphism of -modules , which restricts to an algebra isomorphism on i…
Linearization of Poisson actions and singular values of matrix products
Anton Alekseev, Eckhard Meinrenken, Chris Woodward
We prove that the linearization functor from the category of Hamiltonian K-actions with group-valued moment maps in the sense of Lu, to the category of ordinary Hamiltonian K-actio…