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math.GT2023
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…
math.GT2023
A criterion for double sliceness
Anthony Conway
We describe a condition involving noncommutative Alexander modules which ensures that a knot with Alexander module $\mathbb{Z}[t^{\pm 1}]/(t-2) \oplus \mathbb{Z}[t^{\pm 1}]/(t^{-1}…