English

Categorical lifting of the Jones polynomial: a survey

Geometric Topology 2025-07-08 v2 Quantum Algebra

Abstract

This is a brief review of the categorification of the Jones polynomial and its significance and ramifications in geometry, algebra, and low-dimensional topology.

Keywords

Cite

@article{arxiv.2202.02473,
  title  = {Categorical lifting of the Jones polynomial: a survey},
  author = {Mikhail Khovanov and Robert Lipshitz},
  journal= {arXiv preprint arXiv:2202.02473},
  year   = {2025}
}

Comments

22 pages. V2: Various minor improvements. To appear in an issue of the Bulletin of the AMS, dedicated to the mathematical legacy of Vaughan Jones