9 citations · 34 across the 12 of their papers we have counts for
3 papers · 2 filters
On knots that divide ribbon knotted surfaces
Hans U. Boden, Ceyhun Elmacioglu, Anshul Guha +4
We define a knot to be half ribbon if it is the cross-section of a ribbon 2-knot, and observe that ribbon implies half ribbon implies slice. We introduce the half ribbon genus of a…
Toric multisections and curves in rational surfaces
Gabriel Islambouli, Homayun Karimi, Peter Lambert-Cole +1
We study multisections of embedded surfaces in 4-manifolds admitting effective torus actions. We show that a simply-connected 4-manifold admits a genus one multisection if and only…
Classical results for alternating virtual links
Hans U. Boden, Homayun Karimi
We extend some classical results of Bankwitz, Crowell, and Murasugi to the setting of virtual links. For instance, we show that an alternating virtual link is split if and only if…