Intrinsic Linking of 2-complexes in $\mathbb{R}^4$
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910199371005952 |
|---|---|
| author | Huber, Nathan Rao, Ishaan Raghavendra Joseph, Hannah Schwartz Vijay, Tanishga Thankaraj |
| author_facet | Huber, Nathan Rao, Ishaan Raghavendra Joseph, Hannah Schwartz Vijay, Tanishga Thankaraj |
| contents | We produce an infinite family of $2$-complexes that are intrinsically linked when embedded into four dimensions. In particular, we show that any embedding into $\mathbb{R}^4$ of the suspension of a graph containing $K_6$ as a minor contains a non-trivially linked 1 and 2-cycle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06851 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Intrinsic Linking of 2-complexes in $\mathbb{R}^4$ Huber, Nathan Rao, Ishaan Raghavendra Joseph, Hannah Schwartz Vijay, Tanishga Thankaraj Geometric Topology 57K45, 57R40 We produce an infinite family of $2$-complexes that are intrinsically linked when embedded into four dimensions. In particular, we show that any embedding into $\mathbb{R}^4$ of the suspension of a graph containing $K_6$ as a minor contains a non-trivially linked 1 and 2-cycle. |
| title | Intrinsic Linking of 2-complexes in $\mathbb{R}^4$ |
| topic | Geometric Topology 57K45, 57R40 |
| url | https://arxiv.org/abs/2605.06851 |