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Fungible Obstructions to Embedding 2-Complexes by Avramidi, Grigori; Phan, T. Tam Nguyen is a scholarly article available to read on EtoBox.

What is Fungible Obstructions to Embedding 2-Complexes about?

We give examples of finite, simplicial $2$-complexes that do not PL embed in $\mathbb{R}^4$ and exhibit, for each such complex, a family of PL immersions into $\mathbb{R}^4$ that hide the obstruction to embedding in "higher and higher order Milnor invariants". In addition, we show that the embedding obstructions defined by Krushkal in [8] vanish for our examples. We also answer a question in a paper of Avramidi-Okun-Schreve.

Author

Avramidi, Grigori; Phan, T. Tam Nguyen

Published

2021

Language

EN