From the 1 of 4 linked papers with an AI index.
4 papers
On the number of shared Dehn surgeries between two knots
Patricia Sorya
The paper proves that for any two distinct knots in the 3‑sphere, there are only finitely many slopes for which Dehn surgeries on the knots yield orientation‑preserving homeomorphi…
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…
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…
Characterizing slopes for satellite knots
Patricia Sorya
A slope is said to be characterizing for a knot if the homeomorphism type of the -Dehn surgery along determines the knot up to isotopy. Extending previous work o…