Augmented Biracks and their Homology
Document Type
Article
Publication Date
2014
Digital Object Identifier (DOI)
https://doi.org/10.1142/S0129167X14500876
Abstract
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.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
International Journal of Mathematics, v. 25, issue 9, art. 1450087
Scholar Commons Citation
Ceniceros, Jose; Elhamdadi, Mohamed; Green, Matthew; and Nelson, Sam, "Augmented Biracks and their Homology" (2014). Mathematics and Statistics Faculty Publications. 112.
https://digitalcommons.usf.edu/mth_facpub/112
