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A proof of Dunfield-Gukov-Rasmussen Conjecture

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2022
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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

Abstract

Abstract

Abstract

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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Creators (Authors)

  • Beliakova, Anna
  • Putytra, Krzystof K
  • Robert, Louis-Hadrien
  • Wagner, Emmanuel

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ArXiv.org

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Working Paper

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Comments: 62 pages. This is an improved version of arXiv:2112.02428 Subjects: Geometric Topology (math.GT); Algebraic Topology (math.AT) MSC classes: 57K18, 18G40, 55U20

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English

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2022

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2023-02-17

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2331-8422

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Closed

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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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