PARITY AND PROJECTION FROM VIRTUAL KNOTS TO CLASSICAL KNOTS

DOI10.1142/S0218216513500442zbMath1280.57007arXiv0912.5348OpenAlexW2029497772MaRDI QIDQ2850713

Vassily O. Manturov

Publication date: 30 September 2013

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

Full work available at URL: https://arxiv.org/abs/0912.5348

zbMATH Keywords

crossing numberbridge numbervirtual knot theoryfunctorial map

Mathematics Subject Classification ID

Related Items (23)

Parity, virtual closure and minimality of knotoids ⋮ On universal parity on free two-dimensional knots ⋮ Weak parities and functorial maps ⋮ On ribbon graphs and virtual links ⋮ Reidemeister moves and groups ⋮ The Gordon–Litherland pairing for links in thickened surfaces ⋮ A parity map of framed chord diagrams ⋮ An elementary proof that classical braids embed in virtual braids ⋮ Alexander invariants of periodic virtual knots ⋮ Parity functors ⋮ The Jones-Krushkal polynomial and minimal diagrams of surface links ⋮ Virtual multicrossings and petal diagrams for virtual knots and links ⋮ Intersection formulas for parities on virtual knots ⋮ Picture-valued parity-biquandle bracket ⋮ Adequate links in thickened surfaces and the generalized Tait conjectures ⋮ A note on coverings of virtual knots ⋮ Virtual knot groups and almost classical knots ⋮ Minimal crossing number implies minimal supporting genus ⋮ From chord parity to chord index ⋮ Wirtinger numbers for virtual links ⋮ Unoriented Khovanov homology ⋮ Graphical constructions for the sl(3), C₂ and G₂ invariants for virtual knots, virtual braids and free knots ⋮ Bridge numbers for virtual and welded knots

Cites Work

• What is a virtual link?
• Finite-type invariants of classical and virtual knots
• The canonical genus of a classical and virtual knot
• Virtual knots and links
• Virtual knot theory–-unsolved problems
• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
• Virtual Knots

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