56 citations · 112 across the 21 of their papers we have counts for
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math.GT2020★ 2 cited
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…
math.GT2020★ 4 cited
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…