A Remark on the Lewark-Zibrowius Invariant

Mihai Marian

doi:10.2140/pjm.2025.339.191

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arXiv · 2503.17854

A Remark on the Lewark-Zibrowius Invariant

Mihai Marian

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Abstract

We prove a conjecture about the concordance invariant $\vartheta$, defined in a recent paper by Lewark and Zibrowius. This result simplifies the relation between $\vartheta$ 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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Mihai Marian. 2025-03-22. A Remark on the Lewark-Zibrowius Invariant. https://doi.org/10.2140/pjm.2025.339.191

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