Asymptotics of the smooth A n -realization problem

Key Points

• The study determines the cobordism distance between torus links up to an error margin of at most 3d.
• It uncovers a variant of the smooth realization problem applicable to plane curves, broadening the scope of knot theory.
• The findings imply limitations of existing knot theoretic approaches, indicating areas for further research.
• A significant aspect of the research revolves around asymptotic behaviors, which deepen our understanding of geometrical structures.