Solving an asymptotic variant of the smooth realization problem reveals key insights into the cobordism distance between torus links, suggesting new avenues in knot theory.
We solve an asymptotic variant of a smooth version of the A n -realization problem for plane curves. As an application, we determine the cobordism distance between torus links of type T(d,d) and T(2,N) up to an error of at most 3d. We also discuss the limits of knot theoretic approaches aimed at solving the A n -realization problem.
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Baader et al. (2025) studied this question.
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