Categorical lifting of the Jones polynomial: a survey

Mikhail Khovanov; Robert Lipshitz

Categorical lifting of the Jones polynomial: a survey

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arxiv 2202.02473 v2 pith:VR52H6S4 submitted 2022-02-05 math.GT math.QA

Mikhail Khovanov , Robert Lipshitz This is my paper · ORCID

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keywords jonespolynomialalgebrabriefcategoricalcategorificationgeometrylifting

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

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Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex
math-ph 2025-01 conditional novelty 6.0 of 10

First topological-vertex computations of colored unknot and Hopf link invariants in RP^3 yield power series with positive integer q-expansions, conjecturally the Poincare series of a new link homology.

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