A note on Gornik's perturbation of Khovanov-Rozansky homology

DOI10.2140/agt.2012.12.293zbMath1244.57018arXiv1012.2802OpenAlexW2009121033MaRDI QIDQ422098

Andrew Lobb

Publication date: 16 May 2012

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2802

zbMATH Keywords

knotslice genus

Mathematics Subject Classification ID

Related Items (14)

On Khovanov Homology and Related Invariants ⋮ \(\mathfrak{sl}_3\)-foam homology calculations ⋮ Computer Bounds for Kronheimer–Mrowka Foam Evaluation ⋮ Linear independence of rationally slice knots ⋮ On the values taken by slice torus invariants ⋮ Generic deformations of the colored \(\mathfrak {sl}(N)\)-homology for links ⋮ Simplified Khovanov-Rozansky chain complexes of open 2-braids ⋮ 2-strand twisting and knots with identical quantum knot homologies ⋮ Junctions of surface operators and categorification of quantum groups ⋮ Rasmussen's spectral sequences and the \(\mathfrak{sl}_N\)-concordance invariants ⋮ Slice-torus Concordance Invariants and Whitehead Doubles of Links ⋮ The Kanenobu knots and Khovanov-Rozansky homology ⋮ New quantum obstructions to sliceness ⋮ Transverse link invariants from the deformations of Khovanov \(\mathfrak{sl}_3\)-homology

Cites Work

• Khovanov homology and the slice genus
• A slice genus lower bound from \(sl(n)\) Khovanov-Rozansky homology
• An estimate of the Rasmussen invariant for links and the determination for certain links
• Some differentials on Khovanov-Rozansky homology
• Matrix factorizations and link homology. II.
• On the quantum filtration of the Khovanov-Rozansky cohomology
• Knot Floer homology and the four-ball genus
• A categorification of the Jones polynomial
• An endomorphism of the Khovanov invariant
• Computable bounds for Rasmussen’s concordance invariant
• Matrix factorizations and link homology

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