Publications (13)
Average four-genus of two-bridge knots
Sebastian Baader, Alexandra Kjuchukova, Lukas Lewark +2
We prove that the expected value of the ratio between the smooth four-genus and the Seifert genus of two-bridge knots tends to zero as the crossing number tends to infinity.
On the stabilisation height of fibre surfaces in
Sebastian Baader, Filip Misev
The stabilisation height of a fibre surface in the 3-sphere is the minimal number of Hopf plumbing operations needed to attain a stable fibre surface from the initial surface. We s…
Rational homology ribbon cobordism is a partial order
Stefan Friedl, Filip Misev, Raphael Zentner
We show that ribbon rational homology cobordism is a partial order within the class of irreducible 3-manifolds. This makes essential use of the methods recently employed by Ian Ago…
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…
Cutting arcs for torus links and trees
Filip Misev
Among all torus links, we characterise those arising as links of simple plane curve singularities by the property that their fibre surfaces admit only a finite number of cutting ar…
Lipschitz normal embedding among superisolated singularities
Filip Misev, Anne Pichon
Any germ of a complex analytic space is equipped with two natural metrics: the outer metric induced by the hermitian metric of the ambient space and the inner metric, which is the…
Minimal cobordisms between thin and thick torus knots
Sebastian Baader, Lukas Lewark, Filip Misev +1
We determine the locally flat cobordism distance between torus knots with small and large braid index, up to high precision. Here small means 2, 3, 4, or 6. As an application, we d…
Bounding the ribbon numbers of knots and links
Stefan Friedl, Filip Misev, Alexander Zupan
The ribbon number of a ribbon knot is the minimal number of ribbon intersections contained in any ribbon disk bounded by . We find new lower bounds for $r…
Hopf bands in arborescent Hopf plumbings
Filip Misev
For a positive Hopf plumbed arborescent Seifert surface , we study the set of Hopf bands , up to homology and up to the action of the monodromy. The classification o…
Tight fibred knots without L-space surgeries
Filip Misev, Gilberto Spano
We show there exist infinitely many knots of every fixed genus which do not admit surgery to an L-space, despite resembling algebraic knots and L-space knots in general:…
On unknotting fibered positive knots and braids
Marc Kegel, Lukas Lewark, Naageswaran Manikandan +3
The unknotting number and the genus of braid positive knots are equal, as shown by Rudolph. We prove the stronger statement that any positive braid diagram of a genus k…
The bridge number of arborescent links with many twigs
Sebastian Baader, Ryan Blair, Alexandra Kjuchukova +1
We prove the meridional rank conjecture for arborescent links associated to plane trees with the following property: all branching points carry a straight branch to at least three…
On families of fibred knots with equal Seifert forms
Filip Misev
For every genus , we construct an infinite family of strongly quasipositive fibred knots having the same Seifert form as the torus knot . In particular, their s…