Patrick Naylor

collaborators

2 papers

math.GT2024

Exotic definite four-manifolds with non-cyclic fundamental group

Robert Harris, Patrick Naylor, B. Doug Park

We construct infinitely many pairwise non-diffeomorphic smooth structures on a definite $4$ -manifold with non-cyclic fundamental group $Z /2 \times Z /2$ .

math.GT2023

Doubles of Gluck twists: a five dimensional approach

David Gabai, Patrick Naylor, Hannah Schwartz

Using a 5-dimensional perspective, we balance algebraic and geometric handle cancellation to show that doubles of Gluck twists of certain 2-spheres with two minima are standard. Th…