Classical results for alternating virtual links

MaRDI QIDQ2090593

Homayun Karimi, Hans U. Boden

Publication date: 25 October 2022

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.09767

zbMATH Keywords

Alexander polynomialdeterminantalternating linkvirtual linkdouble branched covercheckerboard coloringsplit linkwelded linkalmost classical linkTait conjectures

Mathematics Subject Classification ID

Knot theory (57K10) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak parities and functorial maps
• The classification of alternating links
• On the Jones polynomials of checkerboard colorable virtual links
• On the genus of the alternating knot. I
• A parity for 2-colourable links
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• Genus of alternating link types
• Branched covers of surfaces in 4-manifolds
• Finite-type invariants of classical and virtual knots
• Virtual knot theory
• Über das Geschlecht von Knoten
• Alternating knot diagrams, Euler circuits and the interlace polynomial
• A virtualized skein relation for Jones polynomials
• Alexander polynomials of alternating knots of genus two
• Converting virtual link diagrams to normal ones
• Nonalternating links
• The Jones-Krushkal polynomial and minimal diagrams of surface links
• TWIN GROUPS OF VIRTUAL 2-BRIDGE KNOTS AND ALMOST CLASSICAL KNOTS
• Kauffman–Harary conjecture for alternating virtual knots
• Virtual knot groups and almost classical knots
• THE CLASSIFICATION OF SPUN TORUS KNOTS
• ENUMERATING THE PRIME ALTERNATING LINKS
• VIRTUAL KNOT PRESENTATION OF RIBBON TORUS-KNOTS
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
• Alexander invariants of periodic virtual knots
• The Color Invariant for Knots and Links
• SIGNATURE, NULLITY AND DETERMINANT OF CHECKERBOARD COLORABLE VIRTUAL LINKS
• Parity in knot theory
• On two-bridge knots and a conjecture of Hirasawa–Murasugi
• On Fox’s trapezoidal conjecture for closed 3-braids
• Signature and concordance of virtual knots
• Minimal crossing number implies minimal supporting genus
• A geometric proof that alternating knots are non-trivial
• MATRIX INTEGRALS AND THE GENERATION AND COUNTING OF VIRTUAL TANGLES AND LINKS
• Knots

This page was built for publication: Classical results for alternating virtual links