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A Spectral Sequence from Khovanov Homology to Knot Floer Homology.
- Source :
- Journal of the American Mathematical Society; 2024, Vol. 37 Issue 4, p951-1010, 60p
- Publication Year :
- 2024
-
Abstract
- 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]
- Subjects :
- FLOER homology
HOMOLOGY theory
KNOT theory
Subjects
Details
- Language :
- English
- ISSN :
- 08940347
- Volume :
- 37
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Journal of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 178591748
- Full Text :
- https://doi.org/10.1090/jams/1039