English

Intrinsic Linking of 2-complexes in $\mathbb{R}^4$

Geometric Topology 2026-05-11 v1

Abstract

We produce an infinite family of 22-complexes that are intrinsically linked when embedded into four dimensions. In particular, we show that any embedding into R4\mathbb{R}^4 of the suspension of a graph containing K6K_6 as a minor contains a non-trivially linked 1 and 2-cycle.

Keywords

Cite

@article{arxiv.2605.06851,
  title  = {Intrinsic Linking of 2-complexes in $\mathbb{R}^4$},
  author = {Nathan Huber and Ishaan Raghavendra Rao and Hannah Schwartz Joseph and Tanishga Thankaraj Vijay},
  journal= {arXiv preprint arXiv:2605.06851},
  year   = {2026}
}

Comments

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R2 v1 2026-07-01T12:56:05.058Z