A note on real Heegaard Floer homology and localization
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911093646950400 |
|---|---|
| author | Hendricks, Kristen |
| author_facet | Hendricks, Kristen |
| contents | We prove the existence of a localization spectral sequence for the hat variant of Guth and Manolescu's recent construction of real Heegaard Floer homology, and apply it to branched double covers and strongly invertible knots. Our construction applies to real Lagrangian Floer homology in exact symplectic manifolds equipped with anti-symplectic involutions more generally, and may be of independent interest to symplectic geometers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03897 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on real Heegaard Floer homology and localization Hendricks, Kristen Geometric Topology Symplectic Geometry 57M12, 57K18, 53D40 We prove the existence of a localization spectral sequence for the hat variant of Guth and Manolescu's recent construction of real Heegaard Floer homology, and apply it to branched double covers and strongly invertible knots. Our construction applies to real Lagrangian Floer homology in exact symplectic manifolds equipped with anti-symplectic involutions more generally, and may be of independent interest to symplectic geometers. |
| title | A note on real Heegaard Floer homology and localization |
| topic | Geometric Topology Symplectic Geometry 57M12, 57K18, 53D40 |
| url | https://arxiv.org/abs/2508.03897 |