56 citations · 277 across the 50 of their papers we have counts for
8 papers · 1 filter
The -genus of boundary links
Peter Feller, JungHwan Park, Mark Powell
The -genus of a link in is the minimal genus of a locally flat, embedded, connected surface in whose boundary is and with the fundamental group of t…
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…
A lower bound for the doubly slice genus from signatures
Patrick Orson, Mark Powell
The doubly slice genus of a knot in the 3-sphere is the minimal genus among unknotted orientable surfaces in the 4-sphere for which the knot arises as a cross-section. We use the c…
Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials
Stefan Friedl, Takahiro Kitayama, Lukas Lewark +2
We establish homotopy ribbon concordance obstructions coming from the Blanchfield form and Levine-Tristram signatures. Then, as an application of twisted Alexander polynomials, we…
Algebraic criteria for stable diffeomorphism of spin 4-manifolds
Daniel Kasprowski, Mark Powell, Peter Teichner
We study closed, connected, spin 4-manifolds up to stabilisation by connected sums with copies of . For a fixed fundamental group, there are primary, secondary and…
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…