D. McCoy

activity

20132022

most citedOn calculating the slice genera of 11- and 12-crossing knots

12 citations · 59 across the 16 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.GT2014★ 5 cited

Bounds on alternating surgery slopes

Duncan McCoy

We show that if $p / q$ -surgery on a nontrivial knot $K$ yields the branched double cover of an alternating knot or link, then $∣ p / q ∣ \leq 4 g (K) + 3$ . This generalises a bound for lens…

math.GT2014★ 7 cited

Surgeries, sharp 4-manifolds and the Alexander polynomial

Duncan McCoy

Work of Ni and Zhang has shown that for the torus knot $T_{r, s}$ with $r > s > 1$ every surgery slope $p / q \geq \frac{30}{67} (r^{2} - 1) (s^{2} - 1)$ is a characterizing slope. In this paper, w…

math.GT2014★ 9 cited

Non-integer surgery and branched double covers of alternating knots

Duncan McCoy

We show that if the branched double cover of an alternating link arises as $p / q \in Q ∖ Z$ surgery on a knot in $S^{3}$ , then this is exhibited by a rationa…