2021/08/25 by Wilmer Smilde, Smilde, Wilmer
Mathematics · Medicine · #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #Advanced Algebra and Geometry
paper · pdf · doi:10.48550/arxiv.2108.11490
By considering suitable Poisson groupoids, we develop an approach to obtain Lie group structures on (subgroups of) the Poisson diffeomorphism groups of various classes of Poisson manifolds. As applications, we show that the Poisson diffeomorphism groups of (normal-crossing) log-symplectic, elliptic symplectic, scattering-symplectic and cosymplectic manifolds are regular infinite-dimensional Lie groups.