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A categorification of the Jones polynomial

Mikhail Khovanov

Duke Mathematical Journal · 2000 · 997 citations · 14 references

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Abstract

We construct a bigraded cohomology theory of links whose Euler characteristic is\n the Jones polynomial.

References

14

A polynomial invariant for knots via von Neumann algebras

Vaughan F. R. Jones · Bulletin of the American Mathematical Society · 1985 · 1.7K citations · Full text

, , +14

State models and the jones polynomial

Louis H. Kauffman · Topology · 1987 · 1.5K citations

, , +6

On the computational complexity of the Jones and Tutte polynomials

François Jaeger, Dirk Vertigan, Dominic Welsh · Mathematical Proceedings of the Cambridge Philosophical Society · 1990 · 497 citations

, , +13

An instanton-invariant for 3-manifolds

Andreas Floer · Communications in Mathematical Physics · 1988 · 490 citations

, , +9

A geometric setting for the quantum deformation of GLn

Alexander Beilinson, G. Lusztig, Robert Macpherson · Duke Mathematical Journal · 1990 · 338 citations

, , +10