On a family of stably handle-slide trivial R-links

Wenjie Diao

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arXiv · 2610.35120

On a family of stably handle-slide trivial R-links

Wenjie Diao

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Abstract

An R-link is an n-component link L in S^3 such that Dehn surgery on L yields #^nS1 \times S2. Adapting work of Gompf, Scharlemann and Thompson, Meier and Zupan produced a family of R-links L(p, q; c/d), where the pairs (p, q) and (c, d) are relatively prime and c is even. For most of link in this family, whether it is handle-slide trivial remains open. In this work, we show one subfamily, L(3, 2; 4/d), are stably handle-slide trivial for all d.

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Wenjie Diao. 2026-10-26. On a family of stably handle-slide trivial R-links. https://arxiv.org/abs/2610.35120

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