Khovanov homology and equivariant surfaces
Abstract
We introduce a refinement of Bar-Natan homology for involutive links, extending the work of Lobb-Watson and Sano. We construct a new suite of numerical invariants and derive bounds for the genus of equivariant cobordisms between strongly invertible knots. Our invariants show that the difference between the equivariant slice genus and isotopy-equivariant slice genus can be arbitrarily large, whereas previously these were not known to differ.
Fields of Study & Subjects
Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Advances in Mathematics
- Volume
- 502
- Pages
- 111131–111131
- Publication date
- 10 July 2026
- Language
- EN