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

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.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-26
DOI
https://doi.org/10.48550/arxiv.2610.35120
Primary Topic
Geometric and Algebraic Topology
Type
preprint
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preprint

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

Wenjie Diao
arXiv (Cornell University)
Geometric and Algebraic Topology
preprint

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

Wenjie Diao
preprint en

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.

arXiv (Cornell University)
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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On a family of stably handle-slide trivial R-links — Wenjie Diao · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS