A categorification of the Jones polynomial
classification
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jonespolynomialbigradedcategorificationcharacteristiccohomologyconstructeuler
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We construct a bigraded cohomology theory of links whose Euler characteristic is the Jones polynomial.
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Forward citations
Cited by 2 Pith papers
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Reductions in Khovanov-Rozansky operator formalism
Khovanov-Rozansky invariants are recast as a bicomplex of local operators D and conjugations χ^(±), with nilpotency on closed diagrams allowing reductions that simplify the hypercube construction.
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A supergroup series for knot complements
Defines the three-variable superalgebra series F_K(y,z,q) for knot complements, derives its surgery relation to hat Z(q), and computes examples for torus knots.
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