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math.DG1999
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…
math.DG1999
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…