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On a family of stably handle-slide trivial R-links
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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BibTeX
@misc{diao2026family,
title = {{On a family of stably handle-slide trivial R-links}},
author = {Wenjie Diao},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.35120},
eprint = {2610.35120},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.35120},
}
RIS
TY - UNPB
TI - On a family of stably handle-slide trivial R-links
AU - Wenjie Diao
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.35120
UR - https://arxiv.org/abs/2610.35120
AB - 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.
ER -