Augmented Biracks and their Homology
Ceniceros, Jose · Elhamdadi, Mohamed · Green, Matthew · Nelson, Sam
Original · EN
We introduce augmented biracks and define a (co)homology theory associated to augmented biracks. The new homology theory extends the previously studied Yang-Baxter homology with a combinatorial formulation for the boundary map and specializes to N-reduced rack homology when the birack is a rack. We introduce augmented birack 2-cocycle invariants of classical and virtual knots and links and provide examples.
English translation
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