Handle decompositions and stabilizations of open books
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910967638523904 |
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| author | Hsueh, Chun-Sheng |
| author_facet | Hsueh, Chun-Sheng |
| contents | We build handle decompositions of n-manifolds that encode given open book decompositions and describe handle slides that reveal new open book decompositions on the same underlying manifold, for $n \geq 3$. This recovers known stabilization operations for open books. As an application, we show that any open book with trivial monodromy can be stabilized to an open book whose page is a boundary connected sum of trivial disk bundles over spheres. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19343 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Handle decompositions and stabilizations of open books Hsueh, Chun-Sheng Geometric Topology We build handle decompositions of n-manifolds that encode given open book decompositions and describe handle slides that reveal new open book decompositions on the same underlying manifold, for $n \geq 3$. This recovers known stabilization operations for open books. As an application, we show that any open book with trivial monodromy can be stabilized to an open book whose page is a boundary connected sum of trivial disk bundles over spheres. |
| title | Handle decompositions and stabilizations of open books |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2505.19343 |