Asymptotics of the smooth $A_n$-realization problem

Sebastian Baader; Peter Feller

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arXiv · 2303.15434

Asymptotics of the smooth $A_n$-realization problem

Sebastian Baader·Peter Feller

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Abstract

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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BibTeX RIS

Sebastian Baader, Peter Feller. 2023-03-27. Asymptotics of the smooth $A_n$-realization problem. https://arxiv.org/abs/2303.15434

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