D. McCoy

activity

20162022

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Showing 2018Show all

3 papers · 1 filter

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

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

On the characterising slopes of hyperbolic knots

On Seifert fibered spaces bounding definite manifolds

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