Chainmail links, Dehn surgery number and $10/8$

Q: What type of study is this?

This is a Quantitative Study study.

Soheil Azarpendar

doi:10.48550/arxiv.2505.19884

May 26, 2025Open Access

Chainmail links, Dehn surgery number and $10/8$

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Key Points

Certain manifolds cannot be created through Dehn surgery on a knot, which the 10/8 theorem supports.
By employing chainmail links, additional examples were found that further illustrate these limitations.
The combinatorial argument provided a framework for these findings, enhancing existing theoretical understanding.
Implications suggest that current theorems may need to be reassessed in light of these new examples presented.

Implication

Combinatorial approach reveals limitations of Dehn surgery in manifolds, suggesting new examples with chainmail links.

Abstract

Liu and Piccirillo developed a combinatorial argument that employs the 10/8-theorem to demonstrate that certain manifolds cannot be obtained via Dehn surgery on a knot. We extend their approach by creating additional examples using chainmail links.

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Cite This Study

Soheil Azarpendar (2025) studied this question.

synapsesocial.com/papers/68dc12c58a7d58c25ebb09f8 https://doi.org/10.48550/arxiv.2505.19884

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Chainmail links, Dehn surgery number and $10/8$

Key Points

Implication

Abstract

Discussion

Cite This Study

Chainmail links, Dehn surgery number and $10/8$

Key Points

Implication

Abstract

Discussion

Cite This Study

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