152 citations · 375 across the 47 of their papers we have counts for
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Convexity of the moment map image for torus actions on -symplectic manifolds
Victor Guillemin, Eva Miranda, Jonathan Weitsman
We prove a convexity theorem for the image of the moment map of a Hamiltonian torus action on a -symplectic manifold.
Desingularizing -symplectic structures
Victor Guillemin, Eva Miranda, Jonathan Weitsman
A -dimensional Poisson manifold is said to be -symplectic if it is symplectic on the complement of a hypersurface and has a simple Darboux canonical form at p…
Convexity for Hamiltonian torus actions on -symplectic manifolds
Victor Guillemin, Eva Miranda, Ana Rita Pires +1
In [GMPS] we proved that the moment map image of a -symplectic toric manifold is a convex -polytope. In this paper we obtain convexity results for the more general case of no…
Toric actions on b-symplectic manifolds
Victor Guillemin, Eva Miranda, Ana Rita Pires +1
We study Hamiltonian actions on -symplectic manifolds with a focus on the effective case of half the dimension of the manifold. In particular, we prove a Delzant-type theorem th…
Symplectic and Poisson geometry on b-manifolds
Victor Guillemin, Eva Miranda, Ana Rita Pires
Let be a Poisson manifold with Poisson bivector field . We say that is b-Poisson if the map intersects the zero section transversally on a codi…
Codimension one symplectic foliations and regular Poisson structures
Victor Guillemin, Eva Miranda, Ana Rita Pires
In this short note we give a complete characterization of a certain class of compact corank one Poisson manifolds, those equipped with a closed one-form defining the symplectic fol…