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Bikei Homology

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 $\mathbb{R}^4$.

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Bikei Homology5 visible / 5 total nodes / 5 links
Co-authorshipAuthorshipAuthorshipTopic signalTopic signalWBikei Homologypreprint / 2016ASam NelsonResearcherAJake RosenfieldResearcherTmath.GT2393 worksTmath.QA1454 works
PaperSignal 104 links

Bikei Homology

preprint / 2016

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