3 papers
math.GT2026
On the number of shared Dehn surgeries between two knots
Patricia Sorya
A folklore theorem states that for any pair of distinct knots in , performing -Dehn surgery on each knot yields orientation-preservingly homeomorphic manifolds for at mos…
math.GT2025
Computation of the knot Floer complex of knots of thickness one
Patricia Sorya
We develop and implement an algorithm that computes the full knot Floer complex of knots of thickness one. As an application, by extending this algorithm to certain knots of thickn…
math.GT2024
Effective bounds on characterising slopes for all knots
Patricia Sorya, Laura Wakelin
A slope is characterising for a knot if the orientation-preserving homeomorphism type of the manifold obtained by performing De…