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Abe–Tagami and Baker's linear independence conjecture for prime fibered strongly quasi-positive knots
Let denote the smooth knot concordance group. A knot is strongly quasi-positive if it admits a strongly quasi-positive braid representative. Abe–Tagami and Baker's co…
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The quasi-positivity and sharp HOMFLY bound conjecture for fillable knots
Let be a smooth knot type. The HOMFLY bound on the maximum Thurston–Bennequin number of is the upper bound obtained from the HOMFLY polynomial, and is fillable if it ad…