3 papers
math.GT2020
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…
math.GT2019
Null-homologous twisting and the algebraic genus
Duncan McCoy
The algebraic genus of a knot is an invariant that arises when one considers upper bounds for the topological slice genus coming from Freedman's theorem that Alexander polynomial o…
math.GT2016
Alternating Surgeries
Duncan McCoy
This thesis is concerned with the question of when the double branched cover of an alternating knot can arise by Dehn surgery on a knot in . We approach this problem using a s…