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Several known constructions of phase spaces are merged into the framework of Poisson fiber bundles and coupling Dirac structures. Functorial properties of our construction are discussed and examples are provided. Finally, applications to fibered symplectic groupoids are given.
We give an intrinsic proof that Vorobjev's first approximation of a Poisson manifold near a symplectic leaf is a Poisson manifold. We also show that Conn's linearization results cannot be extended in Vorob-jev's setting.
We give lower bounds on the Poisson embedding dimension of a singular quotient of a symplectic manifold by doing a local calculation in formal power series. In particular, we show that the Poisson embedding dimension of the weight-(1,1,2) resonance space is at least 13. 1991 MSC: 17B63, 53D.
Enteric disease and immune challenge are processes that have detrimental effects on the growth performance of young swine. The current study tested the hypothesis that salmonella-induced enteric disease would perturb the endocrine growth axis in a serovar-dependent fashion. Specifically, we evaluated the effects of Salmonella enterica serovar Typhimurium… (More)