Daniel Galvin

collaborators

4 papers

math.GT2026

Smooth stable isotopy of topologically isotopic surfaces

Daniel Galvin, Patrick Orson, Mark Powell

A stabilisation of a $4$ -manifold $X$ is the connected sum of $X$ with some number of copies of $S^{2} \times S^{2}$ . If two smooth surfaces in a $4$ -manifold are topologically isotopic…

math.GT2026

Non-smoothable surfaces in the 4-sphere

Anthony Conway, Daniel Galvin

We construct examples of non-smoothable surfaces in the $4$ -sphere, thereby answering Question 4.32 on the K3 problem list. These surfaces are non-orientable and have knot group of…

math.GT2026

Geometric obstructions for $I^¾$ -fillings of 3-manifolds

Daniel Galvin, Peter Teichner, Simona VeselÃ¡

We consider the realisation problem for normal 1-types of 4-manifolds with a given boundary. More precisely, given a normal 1-type $I^¾$ and closed 3-dimensional $I^¾$ -manifold $Y$ ,…

math.GT2025

Algorithms in 4-manifold topology

Stefan Bastl, Rhuaidi Burke, Rima Chatterjee +28

We show that there exists an algorithm that takes as input two closed, simply connected, topological 4-manifolds and decides whether or not these 4-manifolds are homeomorphic. In p…

Smooth stable isotopy of topologically isotopic surfaces

Non-smoothable surfaces in the 4-sphere

Geometric obstructions for I^¾-fillings of 3-manifolds

Algorithms in 4-manifold topology

Geometric obstructions for $I^¾$ -fillings of 3-manifolds