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- W3016922097 abstract "We consider presymplectic manifolds equipped with Hamiltonian G-actions, G being a connected compact Lie group. A presymplectic manifold is foliated by the integral submanifolds of the kernel of the presymplectic form. For a presymplectic Hamiltonian G-manifold, Lin and Sjamaar propose a condition under which they show that the moment map image has the same ``convex and polyhedral property as the moment map image of a symplectic Hamiltonian G-manifold, a result proved independently by Atiyah, Guillemin-Sternberg, and Kirwan. In this paper, under the condition Lin and Sjamaar proposed on presymplectic Hamiltonian G-manifolds, we study the fundamental groups of such manifolds, comparing with earlier results on the fundamental groups of symplectic Hamiltonian G-manifolds. We observe that the results on the symplectic case are special cases of the results on the presymplectic case." @default.
- W3016922097 created "2020-04-24" @default.
- W3016922097 creator A5065859286 @default.
- W3016922097 date "2020-04-17" @default.
- W3016922097 modified "2023-09-23" @default.
- W3016922097 title "The fundamental groups of presymplectic Hamiltonian G-manifolds" @default.
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- W3016922097 doi "https://doi.org/10.48550/arxiv.2004.08062" @default.
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