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arxiv: 1603.02719 · v2 · pith:GIUZDAJBnew · submitted 2016-03-08 · 🧮 math.GT · math.QA

Bikei Homology

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keywords bikeihomologyunorientedbiquandlescocyclescohomologycountingenhance
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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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