Publication: A proof of Dunfield-Gukov-Rasmussen Conjecture
A proof of Dunfield-Gukov-Rasmussen Conjecture
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Beliakova, A., Putytra, K. K., Robert, L.-H., & Wagner, E. (2022). A proof of Dunfield-Gukov-Rasmussen Conjecture (2210.00878; ArXiv.Org). https://doi.org/10.48550/arXiv.2210.00878
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In 2005 Dunfield, Gukov and Rasmussen conjectured an existence of the spectral sequence from the reduced triply graded Khovanov-Rozansky homology of a knot to its knot Floer homology defined by Ozsváth and Szabó. The main result of this paper is a proof of this conjecture. For this purpose, we construct a bigraded spectral sequence from the $gl_{0}$ homology constructed by the last two authors to the knot Floer homology. Using the fact that the $gl_{0}$
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Beliakova, A., Putytra, K. K., Robert, L.-H., & Wagner, E. (2022). A proof of Dunfield-Gukov-Rasmussen Conjecture (2210.00878; ArXiv.Org). https://doi.org/10.48550/arXiv.2210.00878