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20132026
most citedKnot cobordisms, bridge index, and torsion in Floer homology

22 citations · 100 across the 28 of their papers we have counts for

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math.GT2026

Spanning solids and Murasugi sum in dimension four

Homayun Karimi, Seungwon Kim, Thomas Kindred +2

We study various constructions of spanning solids for knotted surfaces in the 4-sphere. In particular, we consider a 4-dimensional analogue of Murasugi sum, which we use to define…

math.GT2026

An irreducible real projective plane in the 4-sphere

Mark Hughes, Seungwon Kim, Maggie Miller +1

We construct an irreducible embedded projective plane in . This gives a counterexample to the Kinoshita conjecture and answers Problem 4.37 of the K3 problem list. Moreover, w…