A Remark on the Lewark-Zibrowius Invariant

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.

8 pages, 4 figures. v2: Equivalent to published version, erased a false claim in Corollary 1.2

References in corpus (1)

• Rasmussen invariants of Whitehead doubles and other satellites