Alexandra Kjuchukova

activity

20162026

most citedWirtinger systems of generators of knot groups

14 citations · 77 across the 20 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.GT2019

A note on three-fold branched covers of $S^{4}$

Ryan Blair, Patricia Cahn, Alexandra Kjuchukova +1

We show that any 4-manifold admitting a $(g; k_{1}, k_{2}, 0)$ -trisection is an irregular 3-fold cover of the 4-sphere whose branching set is a surface in $S^{4}$ , smoothly embedded except…

math.GT2019★ 11 cited

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.

math.GT2019★ 3 cited

Signatures of topological branched covers

Christian Geske, Alexandra Kjuchukova, Julius L. Shaneson

Let $X^{4}$ and $Y^{4}$ be smooth manifolds and $f : X \to Y$ a branched cover with branching set $B$ . Classically, if $B$ is smoothly embedded in $Y$ , the signature $σ (X)$ can be comput…

A note on three-fold branched covers of S4

Average four-genus of two-bridge knots

Signatures of topological branched covers

A note on three-fold branched covers of $S^{4}$