TL;DR
This paper demonstrates that Khovanov homology can distinguish certain link pairs called rotants, which are indistinguishable by the Jones polynomial, highlighting the enhanced sensitivity of Khovanov homology.
Contribution
The paper introduces infinitely many rotant pairs that are distinguishable by Khovanov homology but not by the Jones polynomial, advancing understanding of link invariants.
Findings
Khovanov homology distinguishes some rotant pairs.
Jones polynomial fails to distinguish these rotants.
Infinite families of rotants are identified.
Abstract
Anstee, Przyticki and Rolfsen introduced the idea of rotants, pairs of links related by a generalised form of link mutation. We exhibit infinitely many pairs of rotants which can be distinguished by Khovanov homology, but not by the Jones polynomial.
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