31 citations · 63 across the 3 of their papers we have counts for
5 papers · 1 filter
Poisson geometry and Morita equivalence
Henrique Bursztyn, Alan Weinstein
These notes discuss various aspect of the ``representation theory'' of Poisson manifolds, with focus on Morita equivalence and Picard groups. We give a brief introduction to Poisso…
Picard groups in Poisson geometry
Henrique Bursztyn, Alan Weinstein
We study isomorphism classes of symplectic dual pairs P <- S -> P-, where P is an integrable Poisson manifold, S is symplectic, and the two maps are complete, surjective Poisson su…
The Geometry of Momentum
Alan Weinstein
Although the idea of the momentum map associated with a symplectic action of a group is already contained in work of Lie, the geometry of momentum maps was not studied extensively…
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…
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…