On the quantum filtration of the Khovanov-Rozansky cohomology
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Publication:1016259
DOI10.1016/j.aim.2008.12.003zbMath1167.57007arXivmath/0612406OpenAlexW2014707291MaRDI QIDQ1016259
Publication date: 5 May 2009
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0612406
spectral sequencematrix factorizationKhovanov-Rozansky homologyRasmussen \(s\)-invariantknot homologytransversal knot
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Cites Work
- Unnamed Item
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- Khovanov homology and the slice genus
- A slice genus lower bound from \(sl(n)\) Khovanov-Rozansky homology
- Some differentials on Khovanov-Rozansky homology
- Matrix factorizations and link homology. II.
- Homfly polynomial via an invariant of colored plane graphs
- A categorification of the Jones polynomial
- The universal \(\mathrm{sl}_3\)-link homology
- An endomorphism of the Khovanov invariant
- On Legendrian knots and polynomial invariants
- Quasipositivity as an obstruction to sliceness
- FAST KHOVANOV HOMOLOGY COMPUTATIONS
- Braids, transversal links and the Khovanov-Rozansky Theory
- Seifert circles and knot polynomials
- Braids and the Jones Polynomial
- REIDEMEISTER MOVES FOR SURFACE ISOTOPIES AND THEIR INTERPRETATION AS MOVES TO MOVIES
- Matrix factorizations and link homology
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