CLASSICAL AND VIRTUAL PSEUDODIAGRAM THEORY AND NEW BOUNDS ON UNKNOTTING NUMBERS AND GENUS

DOI10.1142/S0218216511009388zbMath1250.57009arXiv0908.1981OpenAlexW3101343798MaRDI QIDQ3004782

Sneha Narayan, Noel MacNaughton, Allison Henrich, Oliver Pechenik, Jennifer Townsend

Publication date: 3 June 2011

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

Full work available at URL: https://arxiv.org/abs/0908.1981

zbMATH Keywords

virtual knotsgenusunknotting numberpseudodiagrams

Mathematics Subject Classification ID

Related Items

On Arf Invariant and Trivializing Number ⋮ Gauss diagrams, unknotting numbers and trivializing numbers of spatial graphs ⋮ THE THEORY OF PSEUDOKNOTS ⋮ Playing with Knots ⋮ The unknotting number and band-unknotting number of a knot ⋮ Pseudo knots and an obstruction to cosmetic crossings ⋮ On scannable properties of the original knot from a knot shadow ⋮ Trivializing number of knots ⋮ On the coloring of pseudoknots ⋮ Combinatorial random knots ⋮ AVERAGE BRIDGE NUMBER OF SHADOW RESOLUTIONS ⋮ Isotopy and homotopy invariants of classical and virtual pseudoknots

Cites Work

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• A note on unknotting number
• FORBIDDEN MOVES UNKNOT A VIRTUAL KNOT
• UNKNOTTING VIRTUAL KNOTS WITH GAUSS DIAGRAM FORBIDDEN MOVES
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
• A self-linking invariant of virtual knots
• Finite type invariants and n-equivalence of 3-manifolds

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