SIGNATURE, NULLITY AND DETERMINANT OF CHECKERBOARD COLORABLE VIRTUAL LINKS

DOI10.1142/S0218216510008315zbMath1246.57016MaRDI QIDQ4930567

Young Ho Im, Kyeonghui Lee, Sang Youl Lee

Publication date: 29 September 2010

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

zbMATH Keywords

signaturedeterminantnullityvirtual linkGoeritz matrixcheckerboard coloringminimal virtual link diagram

Mathematics Subject Classification ID

Related Items (15)

Polynomial and signature invariants for pseudo-links via Goeritz matrices ⋮ The Gordon–Litherland pairing for links in thickened surfaces ⋮ GENERA AND PERIODICITY OF VIRTUAL KNOTS AND LINKS ⋮ The Jones polynomial from a Goeritz matrix ⋮ On the generalized virtual Goeritz matrix for virtual knots ⋮ Links in surfaces and Laplacian modules ⋮ ON THE INDEX AND ARROW POLYNOMIALS OF PERIDOIC VIRTUAL LINKS ⋮ Signature and concordance of virtual knots ⋮ Virtual Knot Cobordism and Bounding the Slice Genus ⋮ Link colorings and the Goeritz matrix ⋮ The Khovanov homology of alternating virtual links ⋮ Unoriented Khovanov homology ⋮ Link mutations and Goeritz matrices ⋮ Classical results for alternating virtual links ⋮ Conversion to almost classical virtual links and pseudo Goeritz matrices

Cites Work

• On the Goertiz matrix of a link
• On the signature of a link
• What is a virtual link?
• Finite-type invariants of classical and virtual knots
• Span of the Jones polynomial of an alternating virtual link
• Virtual knot theory
• Knoten und quadratische Formen
• Minimal surface representations of virtual knots and links
• Quadratische Formen und Verschlingungsinvarianten von Knoten
• Branched covering spaces and the quadratic forms of links
• NON-TRIVIAL REALIZATIONS OF VIRTUAL LINK DIAGRAMS
• Detecting Non-Triviality of Virtual Links
• ALEXANDER GROUPS AND VIRTUAL LINKS
• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS

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