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math.QAAug 30, 1999
30
citations (OpenAlex)
authors
  • Mikhail Khovanov
arXiv abstractPDF
paper

A categorification of the Jones polynomial

arXiv:math/9908171

Abstract

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

latex, 51 pages, 72 eps figures, to appear in Duke Mathematical Journal

Cited by in corpus (18)

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  • Virtual Khovanov homology using cobordisms
  • Khovanov homology for virtual tangles and applications
  • Annular Evaluation and Link Homology
  • Tables of quasi-alternating knots with at most 12 crossings
  • The differential graded odd nilHecke algebra
  • Categorification at prime roots of unity and hopfological finiteness
  • Colored knot amplitudes and Hall-Littlewood polynomials
  • Beta Deformation and Superpolynomials of (n,m) Torus Knots
  • The Hecke Bicategory
  • p-DG cyclotomic nilHecke algebras
  • On some p-differential graded link homologies
  • Khovanov homology of a unicolored B-adequate link has a tail
  • Quasi-alternating links and odd homology: computations and conjectures
  • Search for torsion in Khovanov homology
  • Step by step categorification of the Jones polynomial in Kauffman's version
  • Extremal weight projectors
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