3 papers
math.GT2025
Involutions on S^4
Keegan Boyle, Wenzhao Chen, Anthony Conway
This paper studies locally linear involutions on S^4. Our main theorem shows that any such involution with a 1-dimensional fixed-point set is necessarily linear, provided the fixed…
math.GT2024
Equivariant unknotting numbers of strongly invertible knots
Keegan Boyle, Wenzhao Chen
We study symmetric crossing change operations for strongly invertible knots. Our main theorem is that the most natural notion of equivariant unknotting number is not additive under…
math.GT2023
Satellite knots and immersed Heegaard Floer homology
Wenzhao Chen, Jonathan Hanselman
We describe a new method for computing the knot Floer complex of a satellite knot given the knot Floer complex for the companion and a doubly pointed bordered Hee…