# Augmented biracks and their homology

@article{Ceniceros2013AugmentedBA, title={Augmented biracks and their homology}, author={Jose Ceniceros and M. Elhamdadi and Matthew Green and S. Nelson}, journal={International Journal of Mathematics}, year={2013}, volume={25}, pages={1450087} }

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.

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SHOWING 1-10 OF 14 REFERENCES