56 citations · 101 across the 7 of their papers we have counts for
9 papers
The geometry of E-manifolds
Eva Miranda, Geoffrey Scott
Motivated by the study of symplectic Lie algebroids, we study a describe a type of algebroid (called an -tangent bundle) which is particularly well-suited to study of singular d…
Dirac Surfaces and Threefolds
Geoffrey Scott
We describe Dirac structures on surfaces and 3-manifolds. Every Dirac structure on a surface is described either by a regular 1-foliation or by a section of a circle bundle obt…
Deformation of Dirac structures via algebras
M. Gualtieri, M. Matviichuk, G. Scott
The deformation theory of a Dirac structure is controlled by a differential graded Lie algebra which depends on the choice of an auxiliary transversal Dirac structure; if the trans…
Action-angle variables and a KAM theorem for b-Poisson manifolds
Anna Kiesenhofer, Eva Miranda, Geoffrey Scott
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 manifol…
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…