The signature of positive braids is linearly bounded by their first Betti number

DOI10.1142/S0129167X15500810zbMath1332.57008arXiv1311.1242OpenAlexW2109331316MaRDI QIDQ3450731

Peter Feller

Publication date: 6 November 2015

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

Full work available at URL: https://arxiv.org/abs/1311.1242

zbMATH Keywords

signaturepositive braidstopological slice genusfence diagramspositive 4-braids

Mathematics Subject Classification ID

Related Items (3)

Signature and concordance of positive knots ⋮ Signature, positive Hopf plumbing and the Coxeter transformation (With appendix by Peter Feller and Livio Liechti) ⋮ The Levine-Tristram signature: a survey

Cites Work

• Homology of group systems with applications to knot theory
• Non-trivial positive braids have positive signature
• Gauge theory for embedded surfaces. I
• Quasipositivity as an obstruction to sliceness
• Bennequin’s inequality and the positivity of the signature
• Signatures of Covering Links
• Quasipositive plumbing (constructions of quasipositive knots and links, V)
• Commutators and diffeomorphisms of surfaces
• The volume of positive braid links
• THE BRAID GROUP AND OTHER GROUPS

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