12 citations · 59 across the 16 of their papers we have counts for
20 papers
Characterizing slopes for the -pretzel knot
Duncan McCoy
In this note we exhibit concrete examples of characterizing slopes for the knot , aka the -pretzel knot. Although it was shown by Lackenby that every knot admits…
Definite fillings of lens spaces
Paolo Aceto, Duncan McCoy, JungHwan Park
This paper considers the problem of determining the smallest (as measured by the second Betti number) smooth negative-definite filling of a lens space. The main result is to classi…
The Montesinos trick for proper rational tangle replacement
Duncan McCoy, Raphael Zentner
Recently Iltgen, Lewark and Marino introduced the concept of a proper rational tangle replacement and the corresponding notion of the proper rational unknotting number. In this not…
Doubly slice Montesinos links
Duncan McCoy, Clayton McDonald
This paper compares notions of double sliceness for links. The main result is to show that a large family of 2-component Montesinos links are not strongly doubly slice despite bein…
Non-simply connected symplectic fillings of lens spaces
Paolo Aceto, Duncan McCoy, JungHwan Park
We prove results exploring the relationship between the fundamental group and the second Betti number of minimal symplectic fillings of lens spaces. These results unify and general…
Gaps between consecutive untwisting numbers
Duncan McCoy
For one can define a generalization of the unknotting number called the th untwisting number which counts the number of null-homologous twists on at most s…