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}
}
  • Jose Ceniceros, M. Elhamdadi, +1 author S. Nelson
  • Published 2013
  • Mathematics
  • International Journal of Mathematics
  • 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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