collaborators

2 papers

math.GT2023

Knot Floer homology and the fundamental group of knots

Matthew Hedden, Jiajun Wang, Xiliu Yang

We give an algorithm for computing the knot Floer homology of a knot from a particular presentation of its fundamental group.

math.GT2022

Chirally Cosmetic Surgeries on Kinoshita-Terasaka and Conway knot families

Xiliu Yang

In this note, we prove that a nontrivial Kinoshita-Terasaka or Conway knot does not admit chirally cosmetic surgeries, by calculating the finite type invariant of order 3.