A Remark on the Lewark-Zibrowius Invariant

Abstract

We prove a conjecture about the concordance invariant , defined in a recent paper by Lewark and Zibrowius. This result simplifies the relation between and Rasmussen's s-invariant. The proof relies on Bar-Natan's tangle version of Khovanov homology or, more precisely, on its distillation in the case of 4-ended tangles into the immersed curve theory of Kotelskiy-Watson-Zibrowius.

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