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math.GT2022
A proof of Dunfield-Gukov-Rasmussen Conjecture
Anna Beliakova, Krzysztof K. Putyra, Louis-Hadrien Robert +1
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 homolo…
math.QA2022
Odd two-variable Soergel bimodules and Rouquier complexes
Mikhail Khovanov, Krzysztof Putyra, Pedro Vaz
We consider the odd analogue of the category of Soergel bimodules. In the odd case and already for two variables, the transposition bimodule cannot be merged into the generating So…