Categorical lifting of the Jones polynomial: a survey

TL;DR

This paper reviews the categorification of the Jones polynomial, highlighting its importance and implications across geometry, algebra, and low-dimensional topology.

Contribution

It provides a comprehensive survey of the developments in categorifying the Jones polynomial and discusses its significance in various mathematical fields.

Findings

Summarizes key progress in categorification of the Jones polynomial.

Highlights the impact on geometry, algebra, and topology.

Identifies future directions for research in categorification.

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.