Embedding, compression, and the relative Hopf invariant
Algebraic Topology
2026-02-24 v1 Geometric Topology
Abstract
We establish Poincar\'e embedding results in the relative setting, generalizing previously known results in the absolute case. Our primary motivation comes from applications to non-simply connected Poincar\'e surgery, which will be developed in a forthcoming paper. Along the way, we introduce a new tool: the relative Hopf invariant in the equivariant setting.
Keywords
Cite
@article{arxiv.2602.19266,
title = {Embedding, compression, and the relative Hopf invariant},
author = {John R. Klein},
journal= {arXiv preprint arXiv:2602.19266},
year = {2026}
}