| Autor: |
Dowlin, Nathan |
| Předmět: |
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| Zdroj: |
Journal of the American Mathematical Society; 2024, Vol. 37 Issue 4, p951-1010, 60p |
| Abstrakt: |
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. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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