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• #### A slicing obstruction from the $\frac {10}{8}$ theorem ﻿

(Proceedings of the American Mathematical Society, 2016-08-29)
© 2016 American Mathematical Society. From Furuta’s 10/8 theorem, we derive a smooth slicing obstruction for knots in S3 using a spin 4-manifold whose boundary is 0-surgery on a knot. We show that this obstruction is able ...
• #### On L-space knots obtained from unknotting arcs in alternating diagrams ﻿

Let $D$ be a diagram of an alternating knot with unknotting number one. The branched double cover of $S^3$ branched over $D$ is an L-space obtained by half integral surgery on a knot $K_D$. We denote the set of all such ...