23 citations · 28 across the 4 of their papers we have counts for
4 papers
On L-space knots obtained from unknotting arcs in alternating diagrams
Andrew Donald, Duncan McCoy, Faramarz Vafaee
Let be a diagram of an alternating knot with unknotting number one. The branched double cover of branched over is an L-space obtained by half integral surgery on a kn…
A slicing obstruction from the 10/8 theorem
Andrew Donald, Faramarz Vafaee
From Furuta's theorem, we derive a smooth slicing obstruction for knots in using a spin -manifold whose boundary is -surgery on a knot. We show that this…
Embedding Seifert manifolds in S^4
Andrew Donald
Using an obstruction based on Donaldson's theorem on the intersection forms of definite 4-manifolds, we determine which connected sums of lens spaces smoothly embed in S^4. We also…
Concordance groups of links
Andrew Donald, Brendan Owens
We define a notion of concordance based on Euler characteristic, and show that it gives rise to a concordance group of links in the three-sphere, which has the concordance group of…