Quandle homology and relative group homology

Summary · qwen2.5:32b

The article introduces a chain map connecting quandle homology to relative group homology, enabling the construction of quandle cocycles. This connection is significant for advancing algebraic structures in knot theory. The chain map's relation to Seifert (hyper)surfaces' triangulations of 1- and 2-dimensional links provides a geometric interpretation of these algebraic constructs.

Excerpt

arXiv:2607.00701v2 Announce Type: replace 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.