15 citations · 55 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
Surgeries on torus knots, rational balls, and cabling
Paolo Aceto, Marco Golla, Kyle Larson +1
We classify which positive integral surgeries on positive torus knots bound rational homology balls. Additionally, for a given knot K we consider which cables K(p,q) admit integral…
Isotopy and equivalence of knots in 3-manifolds
Paolo Aceto, Corey Bregman, Christopher W. Davis +2
We show that in a prime, closed, oriented 3-manifold M, equivalent knots are isotopic if and only if the orientation preserving mapping class group is trivial. In the case of irred…
Branched covers bounding rational homology balls
Paolo Aceto, Jeffrey Meier, Allison N. Miller +3
Prime power fold cyclic branched covers along smoothly slice knots all bound rational homology balls. This phenomenon, however, does not characterize slice knots. In this paper, we…