English

Relations among higher Whitehead maps

Algebraic Topology 2026-03-04 v2 Combinatorics

Abstract

We define generalised higher Whitehead maps between polyhedral products. By investigating the interplay between the homotopy-theoretic properties of polyhedral products and the combinatorial properties of simplicial complexes, we describe new families of relations among these maps, while recovering and generalising known identities among Whitehead products.

Keywords

Cite

@article{arxiv.2306.05230,
  title  = {Relations among higher Whitehead maps},
  author = {Jelena Grbic and George Simmons and Matthew Staniforth},
  journal= {arXiv preprint arXiv:2306.05230},
  year   = {2026}
}

Comments

44 pages

R2 v1 2026-06-28T11:00:03.408Z