Bikei Homology
Geometric Topology
2016-05-17 v2 Quantum Algebra
Abstract
We introduce a modified homology and cohomology theory for involutory biquandles (also known as \textit{bikei}). We use bikei 2-cocycles to enhance the bikei counting invariant for unoriented knots and links as well as unoriented and non-orientable knotted surfaces in .
Cite
@article{arxiv.1603.02719,
title = {Bikei Homology},
author = {Sam Nelson and Jake Rosenfield},
journal= {arXiv preprint arXiv:1603.02719},
year = {2016}
}
Comments
12 pages; revised version incorporates suggestions from referee. To appear in Homology, Homotopy and Applications