A Remark on the Lewark-Zibrowius Invariant
Geometric Topology
2025-09-16 v2
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 -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.
Keywords
Cite
@article{arxiv.2503.17854,
title = {A Remark on the Lewark-Zibrowius Invariant},
author = {Mihai Marian},
journal= {arXiv preprint arXiv:2503.17854},
year = {2025}
}
Comments
8 pages, 4 figures. v2: Equivalent to published version, erased a false claim in Corollary 1.2