Embedding, compression, and the relative Hopf invariant

Fuente: arXiv
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Autor principal: Klein, John R.
Formato: Preprint
Publicado: 2026
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author Klein, John R.
author_facet Klein, John R.
contents We establish Poincaré embedding results in the relative setting, generalizing previously known results in the absolute case. Our primary motivation comes from applications to non-simply connected Poincaré 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_19266
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Embedding, compression, and the relative Hopf invariant
Klein, John R.
Algebraic Topology
Geometric Topology
Primary: 57R65, 57P10, 58D10. Secondary: 57N65, 55P91, 55Q91
We establish Poincaré embedding results in the relative setting, generalizing previously known results in the absolute case. Our primary motivation comes from applications to non-simply connected Poincaré 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.
title Embedding, compression, and the relative Hopf invariant
topic Algebraic Topology
Geometric Topology
Primary: 57R65, 57P10, 58D10. Secondary: 57N65, 55P91, 55Q91
url https://arxiv.org/abs/2602.19266