Common positive stabilisation of open book decompositions
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909970819186688 |
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| author | Licata, Joan Vértesi, Vera |
| author_facet | Licata, Joan Vértesi, Vera |
| contents | The Giroux Correspondence states that two open book decompositions supporting the same contact structure are related by a sequence of positive open book stabilisations and destabilisations. In this note we show that any two open book decompositions supporting isotopic contact structures admit a common positive stabilisation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17402 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Common positive stabilisation of open book decompositions Licata, Joan Vértesi, Vera Geometric Topology 57K33 The Giroux Correspondence states that two open book decompositions supporting the same contact structure are related by a sequence of positive open book stabilisations and destabilisations. In this note we show that any two open book decompositions supporting isotopic contact structures admit a common positive stabilisation. |
| title | Common positive stabilisation of open book decompositions |
| topic | Geometric Topology 57K33 |
| url | https://arxiv.org/abs/2512.17402 |