30 citations · 141 across the 38 of their papers we have counts for
39 papers
Combinatorial cusp count and clover invariants
Sebastian Baader, Masaharu Ishikawa
We construct efficient topological cobordisms between torus links and large connected sums of trefoil knots. As an application, we show that the signature invariant at $ω=ζ_6…
Asymptotics of the smooth -realization problem
Sebastian Baader, Peter Feller
We solve an asymptotic variant of a smooth version of the -realization problem for plane curves. As an application, we determine the cobordism distance between torus links of…
3-braid knots with maximal 4-genus
Sebastian Baader, Lukas Lewark, Filip Misev +1
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…
Two strand twisting
Lambert A'Campo, Sebastian Baader, Livio Ferretti +1
We prove that fibred knots cannot be untied with -moves, for all . More generally, we give an upper bound on the number of two strand twist operations that…
Monomial reduction of knot polynomials
Sebastian Baader
For all natural numbers and prime numbers , we find a knot whose skein polynomial evaluated at has trivial reduction modulo . An interesting conseque…
On the Jones polynomial modulo primes
Valeriano Aiello, Sebastian Baader, Livio Ferretti
We derive an upper bound on the density of Jones polynomials of knots modulo a prime number , within a sufficiently large degree range: . As an application, we classify k…