Bikei Homology
arXiv:1603.02719
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 $\mathbb{R}^4$.
12 pages; revised version incorporates suggestions from referee. To appear in Homology, Homotopy and Applications