Abstract
The Jones polynomial is a famous link invariant that can be defined diagrammatically via a skein relation. Khovanov homology is a richer link invariant that categorifies the Jones polynomial. Using spectral sequences, we obtain a skein-type relation satisfied by the Khovanov homology. Thanks to this relation, we are able to generalize the Khovanov homology in order to obtain a categorification of the θ-invariant, which is itself a generalization of the Jones polynomial.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1731-1757 |
| Number of pages | 27 |
| Journal | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |
| Volume | 151 |
| Issue number | 6 |
| DOIs | |
| State | Published - Dec 8 2021 |
| Externally published | Yes |
Keywords
- categorification
- framization
- Khovanov homology
- link invariants
- skein relation
- spectral sequences
ASJC Scopus subject areas
- General Mathematics
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