On the genus defect of positive braid knots
- Liechti, Livio Department of Mathematics, University of Fribourg, Chemin du Musée 23, 1700 Fribourg, Switzerland
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23.02.2020
Published in:
- Algebraic & Geometric Topology. - 2020, vol. 20, no. 1, p. 403–428
English
We show that the difference between the Seifert genus and the topological 4–genus of a prime positive braid knot is bounded from below by an affine function of the minimal number of strands among positive braid representatives of the knot. We deduce that among prime positive braid knots, the property of having such a genus difference less than any fixed constant is characterised by finitely many forbidden surface minors.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 328453
- DOI 10.2140/agt.2020.20.403
- Persistent URL
- https://folia.unifr.ch/unifr/documents/308590
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