On Steenrod squares for even and odd Khovanov homology
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914609226579968 |
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| author | Rajapakse, Advika |
| author_facet | Rajapakse, Advika |
| contents | For an arbitrary link $L \subset S^3$ , Sarkar-Scaduto-Stoffregen construct a family of spatial refinements of even and odd Khovanov homology. We give a computation of $\text{Sq}^2$ on these spaces, determining their stable homotopy types for all knots K up to 11 crossings. We also prove that the Steenrod squares $\text{Sq}_0^2$ , $\text{Sq}_1^2$ defined by Schütz do arise as Steenrod squares on these spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03396 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Steenrod squares for even and odd Khovanov homology Rajapakse, Advika Geometric Topology Algebraic Topology 57K18, 55P42 For an arbitrary link $L \subset S^3$ , Sarkar-Scaduto-Stoffregen construct a family of spatial refinements of even and odd Khovanov homology. We give a computation of $\text{Sq}^2$ on these spaces, determining their stable homotopy types for all knots K up to 11 crossings. We also prove that the Steenrod squares $\text{Sq}_0^2$ , $\text{Sq}_1^2$ defined by Schütz do arise as Steenrod squares on these spaces. |
| title | On Steenrod squares for even and odd Khovanov homology |
| topic | Geometric Topology Algebraic Topology 57K18, 55P42 |
| url | https://arxiv.org/abs/2509.03396 |