Fungible obstructions to embedding 2-complexes
Geometric Topology
2021-08-04 v2 Combinatorics
Group Theory
Abstract
We give examples of finite, simplicial -complexes that do not PL embed in and exhibit, for each such complex, a family of PL immersions into 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.
Keywords
Cite
@article{arxiv.2105.10984,
title = {Fungible obstructions to embedding 2-complexes},
author = {Grigori Avramidi and T. Tam Nguyen Phan},
journal= {arXiv preprint arXiv:2105.10984},
year = {2021}
}
Comments
New in this version: we show that the embedding obstructions defined by Krushkal in [8] vanish for our examples. 21 pages, 12 figures