Title

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

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