On families of fibred knots with equal Seifert forms

摘要

For every genus g >= 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: vertical bar sigma(K-n)vertical bar = 2(g4)(K-n) = 2g. On the other hand, the geometric stretching factors are pairwise distinct and the knots are pairwise not ribbon concordant.