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.GT2025
The first relative k-invariant
Anthony Conway, Daniel Kasprowski
Motivated by work on the homotopy classification of -manifolds with boundary, we define a relative -invariant for pairs of spaces that are homotopy equivalent to CW pairs. We…
math.GT2025
Simple spheres in simply-connected -manifolds
Anthony Conway
These notes, which are based on three lectures delivered at the summer school "Topological 4-manifolds" at CRM in 2025, discuss classifications of locally flat spheres in closed, s…