Holomorphic polygons and the bordered Heegaard Floer homology of link complements
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arXiv
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| Format: | Preprint |
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2018
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| _version_ | 1866908592192356352 |
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| author | Hockenhull, Thomas |
| author_facet | Hockenhull, Thomas |
| contents | We describe the construction of an $\mathcal{A}_\infty$ multi-module in terms of counts of holomorphic polygons in a series Heegaard multi-diagrams. We show that this is quasi-isomorphic to the type-A bordered-sutured invariant of a link complement with a view to calculating, in the sequel, these invariants in terms of the link Floer homology of the corresponding link. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1802_02443 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Holomorphic polygons and the bordered Heegaard Floer homology of link complements Hockenhull, Thomas Geometric Topology We describe the construction of an $\mathcal{A}_\infty$ multi-module in terms of counts of holomorphic polygons in a series Heegaard multi-diagrams. We show that this is quasi-isomorphic to the type-A bordered-sutured invariant of a link complement with a view to calculating, in the sequel, these invariants in terms of the link Floer homology of the corresponding link. |
| title | Holomorphic polygons and the bordered Heegaard Floer homology of link complements |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/1802.02443 |