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3-braid knots with maximal 4-genus
- Source :
- Trans. Amer. Math. Soc. Ser. B 11 (2024), 600-621
- Publication Year :
- 2023
-
Abstract
- We classify 3-braid knots whose topological 4-genus coincides with their Seifert genus, using McCoy's twisting method and the Xu normal form. In addition, we give upper bounds for the topological 4-genus of positive and strongly quasipositive 3-braid knots.<br />Comment: 24 pages, 7 figures, comments welcome. v2: minor changes, new infinite family of examples in Remark 4.7. Corresponds to published version
- Subjects :
- Mathematics - Geometric Topology
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Details
- Database :
- arXiv
- Journal :
- Trans. Amer. Math. Soc. Ser. B 11 (2024), 600-621
- Publication Type :
- Report
- Accession number :
- edsarx.2303.11918
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1090/btran/183