Clayton McDonald

activity

20192025

most citedBand Number and the Double Slice Genus

7 citations · 8 across the 4 of their papers we have counts for

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2 papers · 1 filter

math.GT2019

Doubly slice odd pretzel knots

Clayton McDonald

We prove that an odd pretzel knot is doubly slice if it has $2 n + 1$ twist parameters consisting of $n + 1$ copies of $a$ and $n$ copies of $- a$ for some odd integer $a$ . Combined with…

math.GT2019★ 7 cited

Band Number and the Double Slice Genus

Clayton McDonald

We study the double slice genus of a knot, a natural generalization of slice genus. We define a notion called band number, a natural generalization of band unknotting number, and p…