4 papers
Non-smoothable surfaces in the 4-sphere
Anthony Conway, Daniel Galvin
We construct examples of non-smoothable surfaces in the -sphere, thereby answering Question 4.32 on the K3 problem list. These surfaces are non-orientable and have knot group of…
Simply slicing knots
Anthony Conway, Patrick Orson, Mark Pencovitch
Given a simply-connected 4-manifold with boundary the 3-sphere, this paper establishes sufficient conditions for a knot in the boundary to be sliced by a locally flat disc in the 4…
Locally flat simple spheres in
Anthony Conway, Patrick Orson
The fundamental group of the complement of a locally flat surface in a -manifold is called the knot group of the surface. In this article we prove that two locally flat -sphe…
Immersed surfaces with knot group
Anthony Conway, Allison N. Miller
This article is concerned with locally flatly immersed surfaces in simply-connected -manifolds where the complement of the surface has fundamental group . Once the g…