Quandle homology and relative group homology

Ayumu Inoue

Quandle homology and relative group homology

Geometric Topology 2026-07-01 v1 Group Theory

Authors: Ayumu Inoue

Abstract

We introduce a chain map from quandle homology to relative group homology, and construct several quandle cocycles through the chain map. We also relate this chain map to triangulations of Seifert (hyper)surfaces of 1- and 2-dimensional links.

Keywords

quandle homology relative group homology chain map quandle cocycles Seifert surfaces triangulations

Cite

@article{arxiv.2607.00701,
  title  = {Quandle homology and relative group homology},
  author = {Ayumu Inoue},
  journal= {arXiv preprint arXiv:2607.00701},
  year   = {2026}
}

Comments

16 pages