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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… Click to show full abstract
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.
Keywords:
state sum;
cohomology state;
cocycle invariants;
surface links;
biquandle cohomology;
biquandle cocycle
Journal Title: Journal of Knot Theory and Its Ramifications
Year Published: 2018
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Journal Title: Journal of Knot Theory and Its Ramifications
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!