Stein-fillable open books of genus one that do not admit positive factorisations
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866916377721307136 |
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| author | Brejevs, Vitalijs Wand, Andy |
| author_facet | Brejevs, Vitalijs Wand, Andy |
| contents | We construct an infinite family of genus one open book decompositions supporting Stein-fillable contact structures and show that their monodromies do not admit positive factorisations. This extends a line of counterexamples in higher genera and establishes that a correspondence between Stein fillings and positive factorisations only exists for planar open book decompositions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_13250 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Stein-fillable open books of genus one that do not admit positive factorisations Brejevs, Vitalijs Wand, Andy Geometric Topology 57R17 We construct an infinite family of genus one open book decompositions supporting Stein-fillable contact structures and show that their monodromies do not admit positive factorisations. This extends a line of counterexamples in higher genera and establishes that a correspondence between Stein fillings and positive factorisations only exists for planar open book decompositions. |
| title | Stein-fillable open books of genus one that do not admit positive factorisations |
| topic | Geometric Topology 57R17 |
| url | https://arxiv.org/abs/2103.13250 |