Khovanov homology and roll-spun slice disks

Sang Woo Yoon

Khovanov homology and roll-spun slice disks

Geometric Topology 2026-07-18 v1

Authors: Sang Woo Yoon

Abstract

We show that Khovanov homology cannot distinguish the roll-spun slice disk from the trivial slice disk bounding the connected sum of a knot and its mirror when composed with a Morse 1-handle.

Keywords

Khovanov homology slice disks roll-spun knots Morse 1-handle

Cite

@article{arxiv.2607.16837,
  title  = {Khovanov homology and roll-spun slice disks},
  author = {Sang Woo Yoon},
  journal= {arXiv preprint arXiv:2607.16837},
  year   = {2026}
}

Comments

53 pages, 68 figures