[HTML][HTML] Rigidity of Hamiltonian actions on Poisson manifolds

E Miranda, P Monnier, NT Zung - Advances in mathematics, 2012 - Elsevier
This paper is about the rigidity of compact group actions in the Poisson context. The main
result is that Hamiltonian actions of compact semisimple type are rigid. We prove it via a …

Picard groups of Poisson manifolds

H Bursztyn, RL Fernandes - Journal of Differential Geometry, 2018 - projecteuclid.org
For a Poisson manifold $ M $ we develop systematic methods to compute its Picard group
$\mathrm {Pic}(M) $, ie, its group of self Morita equivalences. We establish a precise …

[PDF][PDF] The symplectization functor

RL Fernandes - arXiv preprint math/0610542, 2006 - arxiv.org
arXiv:math/0610542v1 [math.DG] 18 Oct 2006 Page 1 arXiv:math/0610542v1 [math.DG] 18 Oct
2006 THE SYMPLECTIZATION FUNCTOR RUI LOJA FERNANDES Abstract. We describe a …

Contact isotropic realisations of Jacobi manifolds

MA Salazar, D Sepe - 2014 - recercat.cat
This paper investigates the local and global theory of contact isotropic realisations of Jacobi
manifolds, which are contact realisations of minimal dimension. These arise in the study of …

[PDF][PDF] 1 Global Lie theory

DM Torres - math.tecnico.ulisboa.pt
Lie theory is one of the most fundamental subjects in mathematics. It is deeply linked to
every branch of geometry, for symmetries of geometric structures are in most cases encoded …