3-braid knots with maximal 4-genus
arXiv:2303.11918 · doi:10.1090/btran/183
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.
24 pages, 7 figures, comments welcome. v2: minor changes, new infinite family of examples in Remark 4.7. Corresponds to published version
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