· 2012· Preprint
On Khovanov’s categorification of the Jones polynomial
- 323citations
- 2012year
Short summary
Khovanov's novel construction categorifies the Jones polynomial, providing a richer invariant that is strictly stronger than the Jones polynomial itself.
AI-generated from the title and abstract; the full text is not read.
Key points
- Khovanov's construction provides a 'categorification' of the Jones polynomial.
- The new invariant is shown to be strictly stronger than the Jones polynomial.
- Computations and a table of values for prime knots up to 11 crossings are included.
- The presentation emphasizes visual aids over complex mathematical jargon.
AI-generated from the title and abstract; the full text is not read.
Abstract
Abstract. The working mathematician fears complicated words but loves pictures and diagrams. We thus give a no-fancy-anything picture-rich glimpse into Khovanov’s novel construction of “the categorification of the Jones polynomial”. For the same low cost we also provide some computations, including one that shows that Khovanov’s invariant is strictly stronger than the Jones polynomial and including a table of the values of Khovanov’s invariant for all prime knots with up to 11 crossings.
The authors' abstract, as published at the source., 2012 · DOI ↗
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Field: Geometry and Topology
Geometry and TopologyMathematics