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On families of fibred knots with equal Seifert forms
Communications in Analysis and Geometry  (IF0.736),  Pub Date : 2021-03-01, DOI: 10.4310/cag.2021.v29.n2.a6
Filip Misev

For every genus $g \geqslant 2$, we construct an infinite family of strongly quasipositive fibred knots $K_n$ having the same Seifert form as the torus knot $T(2, 2g + 1)$. In particular, their homological monodromies agree and their signatures and four-genera are maximal: $\lvert \sigma (K_n) \rvert = 2g_4 (K_n) = 2g$. On the other hand, the geometric stretching factors are pairwise distinct and the knots are pairwise not ribbon concordant.