Lecture notes on Heegaard Floer homology
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917587772768256 |
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| author | Wong, C. -M. Michael Zampa, Sarah |
| author_facet | Wong, C. -M. Michael Zampa, Sarah |
| contents | These are the notes for a lecture series on Heegaard Floer homology, given by the first author at the Rényi Institute in January 2023, as part of a special semester titled ``Singularities and Low Dimensional Topology''. Familiarity with Heegaard diagrams and Morse theory is assumed. We first illustrate the relevant algebraic structures via grid homology, and then highlight the geometric rather than combinatorial nature of the general theory. We then define Heegaard Floer homology in the context of Lagrangian Floer homology, and describe some key properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07558 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lecture notes on Heegaard Floer homology Wong, C. -M. Michael Zampa, Sarah Geometric Topology 57K18 These are the notes for a lecture series on Heegaard Floer homology, given by the first author at the Rényi Institute in January 2023, as part of a special semester titled ``Singularities and Low Dimensional Topology''. Familiarity with Heegaard diagrams and Morse theory is assumed. We first illustrate the relevant algebraic structures via grid homology, and then highlight the geometric rather than combinatorial nature of the general theory. We then define Heegaard Floer homology in the context of Lagrangian Floer homology, and describe some key properties. |
| title | Lecture notes on Heegaard Floer homology |
| topic | Geometric Topology 57K18 |
| url | https://arxiv.org/abs/2402.07558 |