Browsing by Author "Scott, Geoffrey"
Now showing items 1-7 of 7
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Action-angle variables and a KAM theorem for b-Poisson manifolds
Miranda Galcerán, Eva; Kiesenhofer, Anna; Scott, Geoffrey (2016-01-01)
Article
Open AccessIn 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 AccessIn 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 Accessn [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 AccessIn [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 AccessMotivated 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 AccessWe 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 ...