D. McCoy

activity

20162022

collaborators

Showing 2018 · math.GTShow all

4 papers · 2 filters

math.GT2018

Smoothly embedding Seifert fibered spaces in $S^{4}$

Ahmad Issa, Duncan McCoy

Using an obstruction based on Donaldson's theorem, we derive strong restrictions on when a Seifert fibered space $Y = F (e; \frac{p _{1}}{q _{1}}, \dots, \frac{p _{k}}{q _{k}})$ over an orient…

math.GT2018

The realization problem for non-integer Seifert fibered surgeries

Ahmad Issa, Duncan McCoy

Conjecturally, the only knots in $S^{3}$ with non-integer surgeries producing Seifert fibered spaces are torus knots and cables of torus knots. In this paper, we make progress on the…

math.GT2018

On the characterising slopes of hyperbolic knots

Duncan McCoy

A slope $p / q$ is a characterising slope for a knot $K$ in $S^{3}$ if the oriented homeomorphism type of $p / q$ -surgery on $K$ determines $K$ uniquely. We show that when $K$ is a hyper…

math.GT2018

On Seifert fibered spaces bounding definite manifolds

Ahmad Issa, Duncan McCoy

We establish an inequality which gives strong restrictions on when the standard definite plumbing intersection lattice of a Seifert fibered space over $S^{2}$ can embed into a standa…

Smoothly embedding Seifert fibered spaces in S4

The realization problem for non-integer Seifert fibered surgeries

On the characterising slopes of hyperbolic knots

On Seifert fibered spaces bounding definite manifolds

Smoothly embedding Seifert fibered spaces in $S^{4}$