2018
DOI: 10.48550/arxiv.1811.11894
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A $b$-symplectic slice theorem

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Cited by 3 publications
(14 citation statements)
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“…b m -symplectic group actions and moment maps. In order to describe the group actions on singular symplectic manifolds and the corresponding moment maps, we recall the results of two papers: [BKM1] and [GMPS] (check the preprint version for completeness arXiv:1309.1897v1).…”
Section: 3mentioning
confidence: 99%
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“…b m -symplectic group actions and moment maps. In order to describe the group actions on singular symplectic manifolds and the corresponding moment maps, we recall the results of two papers: [BKM1] and [GMPS] (check the preprint version for completeness arXiv:1309.1897v1).…”
Section: 3mentioning
confidence: 99%
“…In this article, we consider the case of general b m -symplectic actions. It was proved in [BKM1] that a group which acts transversally to the symplectic foliation inside Z decomposes as G = S 1 × H mod by a discrete group. By considering the restriction of ρ to the S 1 -component ρ| S 1 , we obtain a torus action on the b m -symplectic manifold.…”
Section: 3mentioning
confidence: 99%
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“…In this section we discuss the convex cone of KMS functionals for the case of a b-Poisson manifold [32,34]. To this avail we recall the basic definitions and properties of b-Poisson manifolds whose proofs can be found in the literature [7,8,12,20,21,22,29,30,33].…”
Section: Kms Convex Cone For B-poisson Manifoldsmentioning
confidence: 99%
“…These are even dimensional Poisson manifolds whose associated Poisson tensor Π is, roughly speaking, singular on a codimension 1 submanifold. These structures are degenerate in a very controlled way and they recently attracted a lot of interest [7,8,12,20,21,22,29,30,33].…”
Section: Introductionmentioning
confidence: 99%