Tight contact structures on toroidal plumbed 3-manifolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909817114722304 |
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| author | Shah, Tanushree Simone, Jonathan |
| author_facet | Shah, Tanushree Simone, Jonathan |
| contents | We consider tight contact structures on plumbed 3-manifolds with no bad vertices. We discuss how one can count the number of tight contact structures with zero Giroux torsion on such 3-manifolds and explore conditions under which Giroux torsion can be added to these tight contact structures without making them overtwisted. We give an explicit algorithm to construct stein diagrams corresponding to tight structures without Giroux torsion. We focus mainly on plumbed 3-manifolds whose vertices have valence at most 3 and then briefly consider the situation for plumbed 3-manifolds with vertices of higher valence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10225 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tight contact structures on toroidal plumbed 3-manifolds Shah, Tanushree Simone, Jonathan Geometric Topology Symplectic Geometry We consider tight contact structures on plumbed 3-manifolds with no bad vertices. We discuss how one can count the number of tight contact structures with zero Giroux torsion on such 3-manifolds and explore conditions under which Giroux torsion can be added to these tight contact structures without making them overtwisted. We give an explicit algorithm to construct stein diagrams corresponding to tight structures without Giroux torsion. We focus mainly on plumbed 3-manifolds whose vertices have valence at most 3 and then briefly consider the situation for plumbed 3-manifolds with vertices of higher valence. |
| title | Tight contact structures on toroidal plumbed 3-manifolds |
| topic | Geometric Topology Symplectic Geometry |
| url | https://arxiv.org/abs/2412.10225 |