Now showing items 1-9 of 9

  • Codimension one symplectic foliations and regular Poisson manifolds 

    Guillemin, Victor; Miranda Galcerán, Eva; Pires, Ana Rita (2010)
    External research report
    Open Access
    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 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)
    External research report
    Open Access
    In [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
    Open Access
    n [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
    Open Access
    We 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
    Open Access
    A 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)
    Conference lecture
    Open Access
  • On geometric quantization of b-symplectic manifolds 

    Miranda Galcerán, Eva; Guillemin, Victor; Weitsman, Jonathan (2018-05-20)
    Article
    Open Access
    We 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 ...
  • Symplectic and Poisson geometry on b-manifolds 

    Guillemin, Victor; Miranda Galcerán, Eva; Pissarra Pires, Ana Rita (2012)
    External research report
    Open Access
    Let 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)
    External research report
    Open Access
    We 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 ...