Anthony Conway

collaborators

5 papers

math.GT2026

Homeomorphisms of surfaces in $4$ -manifolds

Anthony Conway, Daniel Kasprowski

This paper establishes necessary and sufficient conditions for locally flat knotted surfaces in simply-connected $4$ -manifolds to be equivalent. For surfaces with knot group $\math…

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 $4$ -manifolds with boundary, we define a relative $k$ -invariant for pairs of spaces that are homotopy equivalent to CW pairs. We…

math.GT2025

4-manifolds with a given boundary

Anthony Conway, Daniel Kasprowski

This paper studies the homotopy and homeomorphism classifications of $4$ -manifolds with boundary. Given $4$ -manifolds $X_{0}$ and $X_{1}$ with fundamental group $π$ , we consider the pr…

math.GT2025

Simple spheres in simply-connected $4$ -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…

Homeomorphisms of surfaces in 4-manifolds

Involutions on S^4

The first relative k-invariant

4-manifolds with a given boundary

Simple spheres in simply-connected 4-manifolds

Homeomorphisms of surfaces in $4$ -manifolds

Simple spheres in simply-connected $4$ -manifolds