Naturality and functoriality in involutive Heegaard Floer homology
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866911035441545216 |
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| author | Hendricks, Kristen Hom, Jennifer Stoffregen, Matthew Zemke, Ian |
| author_facet | Hendricks, Kristen Hom, Jennifer Stoffregen, Matthew Zemke, Ian |
| contents | We prove first-order naturality of involutive Heegaard Floer homology, and furthermore construct well-defined maps on involutive Heegaard Floer homology associated to cobordisms between three-manifolds. We also prove analogous naturality and functoriality results for involutive Floer theory for knots and links. The proof relies on the doubling model for the involution, as well as several variations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_12906 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Naturality and functoriality in involutive Heegaard Floer homology Hendricks, Kristen Hom, Jennifer Stoffregen, Matthew Zemke, Ian Geometric Topology 57K18, 57K41 We prove first-order naturality of involutive Heegaard Floer homology, and furthermore construct well-defined maps on involutive Heegaard Floer homology associated to cobordisms between three-manifolds. We also prove analogous naturality and functoriality results for involutive Floer theory for knots and links. The proof relies on the doubling model for the involution, as well as several variations. |
| title | Naturality and functoriality in involutive Heegaard Floer homology |
| topic | Geometric Topology 57K18, 57K41 |
| url | https://arxiv.org/abs/2201.12906 |