33 citations · 203 across the 22 of their papers we have counts for
3 papers · 1 filter
Isotopy and equivalence of knots in 3-manifolds
Paolo Aceto, Corey Bregman, Christopher W. Davis +2
We show that in a prime, closed, oriented 3-manifold M, equivalent knots are isotopic if and only if the orientation preserving mapping class group is trivial. In the case of irred…
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…
Embedding spheres in knot traces
Peter Feller, Allison N. Miller, Matthias Nagel +3
The trace of -framed surgery on a knot in is a 4-manifold homotopy equivalent to the 2-sphere. We characterise when a generator of the second homotopy group of such a mani…