Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots

DOI10.1142/S0218216517410012zbMath1380.57012arXiv1409.5088OpenAlexW2962786498MaRDI QIDQ2977913

Aaron Kaestner, Heather A. Dye, Louis H. Kauffman

Publication date: 20 April 2017

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5088

zbMATH Keywords

Khovanov homologyvirtual knot cobordismvirtual knot theoryRasmussen invariantfour ball genusLee homologyvirtual four ball genus

Mathematics Subject Classification ID

Related Items (28)

Parity, virtual closure and minimality of knotoids ⋮ One conjecture on cut points of virtual links and the arrow polynomial of twisted links ⋮ On ribbon graphs and virtual links ⋮ Rotational virtual knots and quantum link invariants ⋮ New invariants of knotoids ⋮ Virtual index cocycles and invariants of virtual links ⋮ Combinatorial knot theory and the Jones polynomial ⋮ Concordance group of virtual knots ⋮ The Jones polynomial, Knots, diagrams, and categories ⋮ Cut points: An invariant of virtual links ⋮ Band-passes and long virtual knot concordance ⋮ Additional gradings on generalizations of Khovanov homology and invariants of embedded surfaces ⋮ Virtual Seifert surfaces ⋮ The generalized Yamada polynomials of virtual spatial graphs ⋮ Checkerboard framings and states of virtual link diagrams ⋮ Virtual covers of links II ⋮ Signature and concordance of virtual knots ⋮ Quantum invariants of knotoids ⋮ Computations of the slice genus of virtual knots ⋮ Graphical virtual links and a polynomial for signed cyclic graphs ⋮ Virtual knot cobordism and the affine index polynomial ⋮ Khovanov–Lipshitz–Sarkar homotopy type for links in thickened higher genus surfaces ⋮ Virtual Knot Cobordism and Bounding the Slice Genus ⋮ Ascent concordance ⋮ The Khovanov homology of alternating virtual links ⋮ Unoriented Khovanov homology ⋮ Virtual concordance and the generalized Alexander polynomial ⋮ Milnor's concordance invariants for knots on surfaces

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