35 citations · 90 across the 21 of their papers we have counts for
24 papers
On the periodic non-orientable 4-genus of a knot
Taran Grove, Stanislav Jabuka
We show that the equivariant and non-equivariant non-orientable 4-genus of p-periodic knots may differ, for any choice of p>1. Similar results have previously been obtained for the…
Periodic spanning surfaces of periodic knots
Stanislav Jabuka
Edmonds famously proved that every periodic knot of genus g possesses an equivariant Seifert surface of genus g. We show that this is not true if one instead considers nonorientabl…
The concordance crosscap number and rational Witt span of a knot
Stanislav Jabuka
The concordance crosscap number of a knot is the smallest crosscap number of any knot concordant to (and with defined as the least first B…
Knot Graphs and Gromov Hyperbolicity
Stanislav Jabuka, Beibei Liu, Allison H. Moore
We define a broad class of graphs that generalize the Gordian graph of knots. These knot graphs take into account unknotting operations, the concordance relation, and equivalence r…
Comparing nonorientable three genus and nonorientable four genus of torus knots
Stanislav Jabuka, Cornelia A. Van Cott
We compare the values of the nonorientable three genus (or, crosscap number) and the nonorientable four genus of torus knots. In particular, let T(p,q) be any torus knot with p eve…
On a Nonorientable Analogue of the Milnor Conjecture
Stanislav Jabuka, Cornelia A. Van Cott
The nonorientable 4-genus of a knot is the smallest first Betti number of any nonorientable surface properly embedded in the 4-ball, and bounding the knot . We stud…