Group presentations for links in thickened surfaces

DOI10.1142/S021821652150022XzbMath1472.57008arXiv2005.01576MaRDI QIDQ4992359

Daniel S. Silver, Susan G. Williams

Publication date: 8 June 2021

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

Full work available at URL: https://arxiv.org/abs/2005.01576

zbMATH Keywords

Wirtinger presentationDehn presentationDehn coloring groupLaplacian module

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Fundamental group, presentations, free differential calculus (57M05) Knot theory (57K10)

Related Items (1)

Lehmer's question, graph complexity growth and links

Cites Work

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• Goeritz and Seifert matrices from Dehn presentations
• Twisted link theory
• On the Alexander polynomials of cobordant links
• Finite-type invariants of classical and virtual knots
• Invariants of links in thickened surfaces
• On combinatorial isotopy
• Free differential calculus. I: Derivation in the free group ring
• Free differential calculus. II: The isomorphism problem of groups
• Three Dimensions of Knot Coloring
• A polynomial invariant for knots via von Neumann algebras

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