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Non-determinacy of HOMFLY-PT homology for diagrams

2026/07/22 by Maciej Borodzik, Mikhail Malashchuk
#math.GT

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Abstract

We show that for any two knots K1, K2 in ℝ3, there exist diagrams D1 and D2 that represent K1 and K2, respectively, such that the Khovanov--Rozansky triply graded homologies of D1 and D2 are isomorphic. The methods expand on Abel's paper [Abe17].

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