16 citations · 16 across the 1 of their papers we have counts for
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Stably exotic fillings of 3-manifolds
Daniel Kasprowski, Patrick Orson, Mark Powell +1
We investigate which 3-manifolds bound 4-manifolds that are homeomorphic but not stably diffeomorphic, where stabilising means taking connected sum with copies of .…
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…
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…
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…
The Kervaire-Milnor invariant in the stable classification of spin 4-manifolds
Daniel Kasprowski, Mark Powell, Peter Teichner
We consider the role of the Kervaire--Milnor invariant in the classification of closed, connected, spin 4-manifolds, typically denoted by , up to stabilisation by connected sums…