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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.04042 |
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| _version_ | 1866918115997122560 |
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| author | Qin, Qianhe |
| author_facet | Qin, Qianhe |
| contents | We prove that the cut-system complex of a sutured compression body, with vertices representing cut-systems and edges corresponding to handleslides, becomes simply connected when six kinds of 2-cells are attached. Moreover, we define tight Heegaard invariants and show that each admits a unique extension to a strong Heegaard invariant. This gives a new framework for proving naturality results for Floer homology theories associated to sutured manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_04042 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Loops of handleslides for sutured diagrams Qin, Qianhe Geometric Topology We prove that the cut-system complex of a sutured compression body, with vertices representing cut-systems and edges corresponding to handleslides, becomes simply connected when six kinds of 2-cells are attached. Moreover, we define tight Heegaard invariants and show that each admits a unique extension to a strong Heegaard invariant. This gives a new framework for proving naturality results for Floer homology theories associated to sutured manifolds. |
| title | Loops of handleslides for sutured diagrams |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2508.04042 |