Browsing by Author "Donald, Andrew"
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A slicing obstruction from the $\frac {10}{8}$ theorem
Vafaee, Faramarz; Donald, Andrew (Proceedings of the American Mathematical Society, 20160829)© 2016 American Mathematical Society. From Furuta’s 10/8 theorem, we derive a smooth slicing obstruction for knots in S3 using a spin 4manifold whose boundary is 0surgery on a knot. We show that this obstruction is able ... 
On Lspace knots obtained from unknotting arcs in alternating diagrams
Vafaee, Faramarz; Donald, Andrew; McCoy, DuncanLet $D$ be a diagram of an alternating knot with unknotting number one. The branched double cover of $S^3$ branched over $D$ is an Lspace obtained by half integral surgery on a knot $K_D$. We denote the set of all such ...