论文标题

圆环结,理性球和电缆上的手术

Surgeries on torus knots, rational balls, and cabling

论文作者

Aceto, Paolo, Golla, Marco, Larson, Kyle, Lecuona, Ana G.

论文摘要

我们将哪些积极整体手术分类为正圆环结合理性同源球。此外,对于给定的打结,我们考虑哪些电缆k(p,q)接受了结合理性同源球的整体手术。对于此类电缆,令S(k)为相应的有理数Q/p。我们证明了s(k)对每个k都有界限。

We classify which positive integral surgeries on positive torus knots bound rational homology balls. Additionally, for a given knot K we consider which cables K(p,q) admit integral surgeries that bound rational homology balls. For such cables, let S(K) be the set of corresponding rational numbers q/p. We show that S(K) is bounded for each K. Moreover, if n-surgery on K bounds a rational homology ball then n is an accumulation point for S(K).

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