Augmented biracks and their homology

作者:Ceniceros Jose*; Elhamdadi Mohamed; Green Matthew; Nelson Sam
来源:International Journal of Mathematics, 2014, 25(9): 1450087.
DOI:10.1142/S0129167X14500876

摘要

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.

  • 出版日期2014-8