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math.GT2021
The relative Whitney trick and its applications
Christopher William Davis, Patrick Orson, JungHwan Park
We introduce a geometric operation, which we call the relative Whitney trick, that removes a single double point between properly immersed surfaces in a -manifold with boundary.…
math.GT2021
A note on the concordance -genus
Allison N. Miller, JungHwan Park
We show that the difference between the topological 4-genus of a knot and the minimal genus of a surface bounded by that knot that can be decomposed into a smooth concordance follo…