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Aceves, Elaina; Kawamuro, Keiko; Truong, Linh (, New York journal of mathematics)null (Ed.)The slice-Bennequin inequality gives an upper bound for the self-linking number of a knot in terms of its four-ball genus. The s-Bennequin and tau-Bennequin inequalities provide upper bounds on the self-linking number of a knot in terms of the Rasmussen s invariant and the Ozsváth-Szabó tau invariant. We exhibit examples in which the difference between self-linking number and four-ball genus grows arbitrarily large, whereas the s-Bennequin inequality and the tau-Bennequin inequality are both sharp.more » « less
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Hubbard, Diana; Kawamuro, Keiko; Kose, Feride Ceren; Martin, Gage; Plamenevskaya, Olga; Raoux, Katherine; Truong, Linh; Turner, Hannah (, Association for Women in Mathematics series)Acu, Bahar; Cannizzo, Catherine; McDuff, Dusa; Myer, Ziva; Pan, Yu; Traynor, Lisa (Ed.)
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