Tautological classes and symmetry in Khovanov–Rozansky homology
We define a new family of commuting operators Fk in Khovanov–Rozansky link homology, similar to the action of tautological classes in the cohomology of character varieties. We prove that F2 satisfies “hard Lefshetz property” and hence exhibits the symmetry in Khovanov–Rozansky homology conjectured by Dunfield, Gukov, and Rasmussen.
Authors
- Eugene Gorsky (ORCID: https://orcid.org/0000-0002-9572-4938)
- Anton Mellit (ORCID: https://orcid.org/0000-0003-1287-4728)
- Matthew Hogancamp (ORCID: https://orcid.org/0000-0003-3876-3049)
Institutions
- Northeastern University (US)
- University of Vienna (AT)
- University of California, Davis (US)
Publication Details
- Journal
- Duke Mathematical Journal
- Published
- 2024-09-15
- DOI
- https://doi.org/10.1215/00127094-2023-0063
- Citations
- 3
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 3.04