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math.SG2001
Poisson geometry with a 3-form background
Pavol Severa, Alan Weinstein
We study a modification of Poisson geometry by a closed 3-form. Just as for ordinary Poisson structures, these "twisted" Poisson structures are conveniently described as Dirac stru…
math.SG2001
Poisson Geometry of Discrete Series Orbits, and Momentum Convexity for Noncompact Group Actions
Alan Weinstein
The main result of this paper is a convexity theorem for momentum mappings of certain hamiltonian actions of noncompact semisimple Lie groups. The image is required to fall within…