Some experimental results on stable equivalence of GST Links for the Generalized Property R Conjecture

Wenjie Diao; Haoqian Pan; Chunxing Yan

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arXiv · 2604.17737

Some experimental results on stable equivalence of GST Links for the Generalized Property R Conjecture

Wenjie Diao·Haoqian Pan·Chunxing Yan

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Abstract

Gompf-Scharlemann-Thompson and Meier-Zupan constructed an infinite family of R-links that are potential counterexamples of the generalized property R conjecture. Their works also show that whether these links are stably handleslide trivial is an interesting open problem related to the Slice-Ribbon conjecture. In this work, we implement an algorithm to construct all these links explicitly, the details of this algorithm will the content of another paper. With such an algorithm, the stable handleslide triviality of some of these links is verified. Moreover, many links are shown to be stably handleslide equivalent. Some of the results are obtained independently in \cite{Knots in the fiber}

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BibTeX RIS

Wenjie Diao, Haoqian Pan, Chunxing Yan. 2026-04-20. Some experimental results on stable equivalence of GST Links for the Generalized Property R Conjecture. https://arxiv.org/abs/2604.17737

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