Exploració per autor "Guillemin, Victor"
Ara es mostren els items 1-10 de 10
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Codimension one symplectic foliations and regular Poisson manifolds
Guillemin, Victor; Miranda Galcerán, Eva; Pires, Ana Rita (2010)
Report de recerca
Accés obertIn 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 foliation and a closed two-form extending ... -
Convexity for Hamiltonian torus actions on b-symplectic manifolds
Guillemin, Victor; Miranda Galcerán, Eva; Pires, Ana Rita; Scott, Geoffrey (2014-12)
Report de recerca
Accés obertIn [GMPS] we proved that the moment map image of a b-symplectic toric manifold is a convex b-polytope. In this paper we obtain convexity results for the more general case of non-toric hamiltonian torus actions on b-symplectic ... -
Convexity for Hamiltonian torus actions on b-symplectic manifolds
Guillemin, Victor; Miranda Galcerán, Eva; Pires, Ana Rita; Scott, Geoffrey (2017)
Article
Accés obertn [GMPS] we proved that the moment map image of a b-symplectic toric manifold is a convex b-polytope. In this paper we obtain convexity results for the more general case of non-toric hamiltonian torus actions on b-symplectic ... -
Convexity of the moment map image for torus actions on b(m)-symplectic manifolds
Miranda Galcerán, Eva; Guillemin, Victor; Weitsman, Jonathan (Royal Society, 2018-10-28)
Article
Accés obertWe prove a convexity theorem for the image of the moment map of a Hamiltonian torus action on a bm-symplectic manifold. This article is part of the theme issue ‘Finite dimensional integrable systems: new trends and methods -
Desingularizing b^m-symplectic structures
Miranda Galcerán, Eva; Guillemin, Victor; Weitsman, Jonathan (2017)
Article
Accés obertA 2n-dimensional Poisson manifold (M,Π) is said to be bm-symplectic if it is symplectic on the complement of a hypersurface Z and has a simple Darboux canonical form at points of Z which we will describe below. In this ... -
From b-Poisson manifolds to symplectic mapping tori and back
Miranda Galcerán, Eva; Guillemin, Victor; Pissarra Pires, Ana Rita (2012)
Comunicació de congrés
Accés obert -
On geometric quantization of b-symplectic manifolds
Miranda Galcerán, Eva; Guillemin, Victor; Weitsman, Jonathan (2018-05-20)
Article
Accés obertWe study a notion of pre-quantization for b-symplectic manifolds. We use it to construct a formal geometric quantization of b-symplectic manifolds equipped with Hamiltonian torus actions with nonzero modular weight. We ... -
On Geometric Quantization of b^m-symplectic manifolds
Miranda Galcerán, Eva; Guillemin, Victor; Weitsman, Jonathan (2021)
Article
Accés obertWe study the formal geometric quantization of bm-symplectic manifolds equipped with Hamiltonian actions of a torus T with nonzero leading modular weight. The resulting virtual T-modules are finite dimensional when m is ... -
Symplectic and Poisson geometry on b-manifolds
Guillemin, Victor; Miranda Galcerán, Eva; Pissarra Pires, Ana Rita (2012)
Report de recerca
Accés obertLet M2n be a Poisson manifold with Poisson bivector field . We say thatM is b-Poisson if the map n : M ! 2n(TM) intersects the zero section transversally on a codimension one submanifold Z M. This paper will be a ... -
Toric actions on b-symplectic manifolds
Miranda Galcerán, Eva; Pires, Ana Rita; Guillemin, Victor; Scott, Geoffrey (2013)
Report de recerca
Accés obertWe study Hamiltonian actions on b-symplectic manifolds with a focus on the e ective case of half the dimension of the manifold. In particular, we prove a Delzant-type theorem that classi es these manifolds using polytopes ...