Browsing by Author "Scott, Geoffrey"

Now showing items 1-7 of 7

    • Action-angle variables and a KAM theorem for b-Poisson manifolds 

      Miranda Galcerán, Eva; Kiesenhofer, Anna; Scott, Geoffrey (2016-01-01)
      Article
      Open Access
      In this article we prove an action-angle theorem for b-integrable systems on b-Poisson manifolds improving the action-angle theorem contained in [14] for general Poisson manifolds in this setting. As an application, we ...

    • Action-angle variables and a KAM theorem for b-Poisson manifolds 

      Kiesenhofer, Anna; Miranda Galcerán, Eva; Scott, Geoffrey (2015-02)
      External research report
      Open Access
      In this article we prove an action-angle theorem for b-integrable systems on b-Poisson manifolds improving the action-angle theorem contained in [LMV11] for general Poisson manifolds in this setting. As an application, we ...

    • 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 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 ...

    • Introduction to Poisson Geometry 

      Miranda Galcerán, Eva; Scott, Geoffrey (2014)
      Conference report
      Open Access

    • The geometry of e-manifolds 

      Miranda Galcerán, Eva; Scott, Geoffrey (2020)
      Article
      Open Access
      Motivated by the study of symplectic Lie algebroids, we focus on a type of algebroid (called an E-tangent bundle) which is particularly well suited to the study of singular differential forms and their cohomology. ...

    • 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 ...