3 papers
math.GT2026
Embedded surfaces with infinite cyclic knot group
Anthony Conway, Mark Powell
We study locally flat, compact, oriented surfaces in -manifolds whose exteriors have infinite cyclic fundamental group. We give algebraic topological criteria for two such surfa…
math.GT2025
The 4-dimensional disc embedding theorem and dual spheres
Mark Powell, Arunima Ray, Peter Teichner
We modify the proof of the disc embedding theorem for -manifolds, which appeared as Theorem 5.1A in the book "Topology of 4-manifolds" by Freedman and Quinn, in order to constru…
math.GT2024
Unknotting nonorientable surfaces
Anthony Conway, Patrick Orson, Mark Powell
Given a nonorientable, locally flatly embedded surface in the -sphere of nonorientable genus , Massey showed that the normal Euler number lies in $\lbrace -2h,-2h+4,\ldots,2h…