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A Gap in Stanfield's Proof of Sachs' Linear Linkless Embedding Conjecture

Geometric Topology 2026-03-12 v1

Abstract

This is a short note describing what I believe is a serious gap in Stanfield's proof of Sachs' conjecture that every linklessly embeddable graph has a linear linkless embedding in R3\mathbb{R}^3.

Keywords

Cite

@article{arxiv.2603.10066,
  title  = {A Gap in Stanfield's Proof of Sachs' Linear Linkless Embedding Conjecture},
  author = {Ramin Naimi},
  journal= {arXiv preprint arXiv:2603.10066},
  year   = {2026}
}

Comments

4 pages, 4 figures