7 citations · 7 across the 1 of their papers we have counts for
6 papers
Uniqueness in the Kashiwara-Vergne conjecture
Anton Alekseev, Emanuela Petracci
We prove that a universal symmetric solution of the Kashiwara-Vergne conjecture is unique up to order one. in the Appendix by the second author, this result is used to show that so…
RR charges of D2-branes in the WZW model
Anton Alekseev, Volker Schomerus
We consider the contribution of the B-field into the RR charge of a spherical D2-brane. Extending a recent analysis of Taylor, we show that the boundary and bulk contributions do n…
Formulas of Verlinde type for non-simply connected groups
Anton Alekseev, Eckhard Meinrenken, Chris Woodward
We derive Verlinde's formula from the fixed point formula for loop groups proved in the companion paper "A fixed point formula for loop group actions", and extend it to compact, co…
A fixed point formula for loop group actions
Anton Alekseev, Eckhard Meinrenken, Chris Woodward
We express the index of the Dirac operator on symplectic quotients of a Hamiltonian loop group manifold with proper moment map in terms of fixed point data.
Manin pairs and moment maps
Anton Alekseev, Yvette Kosmann-Schwarzbach
A Lie group G in a group pair (D,G), integrating a Lie algebra g in a Manin pair (d,g) has a quasi-Poisson structure. We define the quasi-Poisson actions of such Lie groups G, that…
Group-valued equivariant localization
Anton Alekseev, Eckhard Meinrenken, Chris Woodward
We prove a localization formula for group-valued equivariant de Rham cohomology of a compact G-manifold. This formula is a non-trivial generalization of the localization formula of…