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Contact 3-manifolds that admit a non-free toric action
Published 16 Jan 2025 in math.SG | (2501.09386v1)
Abstract: We classify contact toric 3-manifolds up to contactomorphism, through explicit descriptions, building off of work by Lerman [Lerman03]. As an application, we classify all contact structures on 3-manifolds that can be realised as a concave boundary of linear plumbing over spheres. The later result is inspired by the work [MNRSTW25].
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