Goeritz and Seifert matrices from Dehn presentations

zbMath1448.57010arXiv1808.10296MaRDI QIDQ782386

Lorenzo Traldi, Daniel S. Silver, Susan G. Williams

Publication date: 27 July 2020

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.10296

zbMATH Keywords

link groupGoeritz matrixSeifert matrixgroup presentation

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Knot theory (57K10)

Related Items (6)

Links in surfaces and Laplacian modules ⋮ Lehmer's question, graph complexity growth and links ⋮ Multivariate Alexander quandles, II. The involutory medial quandle of a link (corrected) ⋮ Multivariate Alexander quandles, II. The involutory medial quandle of a link ⋮ Knot invariants from Laplacian matrices ⋮ Group presentations for links in thickened surfaces

Cites Work

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• Closed incompressible surfaces in alternating knot and link complements
• On the Goertiz matrix of a link
• On the signature of a link
• Knots.
• Free differential calculus. I: Derivation in the free group ring
• Free differential calculus. II: The isomorphism problem of groups
• Branched covering spaces and the quadratic forms of links
• Knot invariants from Laplacian matrices
• A calculation of Blanchfield pairings of 3-manifolds and knots
• On the Minkowski Unit of Slice Links

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