8 citations · 22 across the 7 of their papers we have counts for
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math.GT2020
Duals of non-zero square
Hannah R. Schwartz
In this short note, for each non-zero integer n, we construct a 4-manifold containing a smoothly concordant pair of spheres with a common dual of square n but no automorphism carry…
math.GT2020★ 5 cited
Gluck twisting roll spun knots
Patrick Naylor, Hannah Schwartz
We show that the smooth homotopy 4-sphere obtained by Gluck twisting the m-twist n-roll spin of any unknotting number one knot is diffeomorphic to the standard 4-sphere, for any pa…
math.GT2020★ 8 cited
Unknotting numbers of 2-spheres in the 4-sphere
Jason Joseph, Michael Klug, Benjamin Ruppik +1
We compare two naturally arising notions of unknotting number for 2-spheres in the 4-sphere: namely, the minimal number of 1-handle stabilizations needed to obtain an unknotted sur…