152 citations · 626 across the 48 of their papers we have counts for
6 papers · 1 filter
A note on symplectic topology of -manifolds
Pedro Frejlich, David Martínez Torres, Eva Miranda
A Poisson manifold $(M^{2n},\p)$ is -symplectic if $\bigwedge^n\p$ is transverse to the zero section. In this paper we apply techniques native to Symplectic Topology to address…
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…
A Poincare lemma in Geometric Quantisation
Eva Miranda, Romero Solha
This article presents a Poincare lemma for the Kostant complex, used to compute geometric quantisation, when the polarisation is given by a Lagrangian foliation defined by an integ…
Coupling symmetries with Poisson structures
Camille Laurent-Gengoux, Eva Miranda
We study local normal forms for completely integrable systems on Poisson manifolds in the presence of additional symmetries. The symmetries that we consider are encoded in actions…
On a Poincare lemma for foliations
Eva Miranda, Romero Solha
In this paper we revisit a Poincare lemma for foliated forms, with respect to a regular foliation, and compute the foliated cohomology for local models of integrable systems with s…
Geometric Quantization of real polarizations via sheaves
Eva Miranda, Francisco Presas
In this article we develop tools to compute the Geometric Quantization of a symplectic manifold with respect to a regular Lagrangian foliation via sheaf cohomology and obtain impor…