Seiichi Kamada, Akio Kawauchi, Jieon Kim, Sang Youl Lee
Published 2018-03-07Version 1
In this paper, we discuss the (co)homology theory of biquandles, derived biquandle cocycle invariants for oriented surface-links using broken surface diagrams and how to compute the biquandle cocycle invariants from marked graph diagrams. We also develop the shadow (co)homology theory of biquandles and construct the shadow biquandle cocycle invariants for oriented surface-links.
Comments: 34 pages, 28 figures. arXiv admin note: text overlap with arXiv:1502.01450
Biquasile Colorings of Oriented Surface-Links
Local biquandles and Niebrzydowski's tribracket theory
Biquandle Module Invariants of Oriented Surface-Links
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