A spectral sequence from Khovanov homology to knot Floer homology
| Autor: | Dowlin, Nathan |
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| Rok vydání: | 2018 |
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| Druh dokumentu: | Working Paper |
| Popis: | A well-known conjecture of Rasmussen states that for any knot $K$ in $S^{3}$, the rank of the reduced Khovanov homology of $K$ is greater than or equal to the rank of the reduced knot Floer homology of $K$. This rank inequality is supposed to arise as the result of a spectral sequence from Khovanov homology to knot Floer homology. Using an oriented cube of resolutions construction for a homology theory related to knot Floer homology, we prove this conjecture. Comment: 44 pages |
| Databáze: | arXiv |
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