Involutive bordered Floer homology
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2017
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| _version_ | 1866912538236551168 |
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| author | Hendricks, Kristen Lipshitz, Robert |
| author_facet | Hendricks, Kristen Lipshitz, Robert |
| contents | We give a bordered extension of involutive HF-hat and use it to give an algorithm to compute involutive HF-hat for general 3-manifolds. We also explain how the mapping class group action on HF-hat can be computed using bordered Floer homology. As applications, we prove that involutive HF-hat satisfies a surgery exact triangle and compute HFI-hat of the branched double covers of all 10-crossing knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1706_06557 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Involutive bordered Floer homology Hendricks, Kristen Lipshitz, Robert Geometric Topology 57R58 (primary), 57M27 (secondary) We give a bordered extension of involutive HF-hat and use it to give an algorithm to compute involutive HF-hat for general 3-manifolds. We also explain how the mapping class group action on HF-hat can be computed using bordered Floer homology. As applications, we prove that involutive HF-hat satisfies a surgery exact triangle and compute HFI-hat of the branched double covers of all 10-crossing knots. |
| title | Involutive bordered Floer homology |
| topic | Geometric Topology 57R58 (primary), 57M27 (secondary) |
| url | https://arxiv.org/abs/1706.06557 |