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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.09386 |
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| _version_ | 1866913653155954688 |
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| author | Marinković, Aleksandra Starkston, Laura |
| author_facet | Marinković, Aleksandra Starkston, Laura |
| contents | 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]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09386 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Contact 3-manifolds that admit a non-free toric action Marinković, Aleksandra Starkston, Laura Symplectic Geometry 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]. |
| title | Contact 3-manifolds that admit a non-free toric action |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2501.09386 |