Polynomial Cocycles of Alexander Quandles and Applications
Alexander quandles, quandle cohomology, quandle cocycle invariants
Digital Object Identifier (DOI)
Cocycles are constructed by polynomial expressions for Alexander quandles. As applications, non-triviality of some quandle homology groups are proved, and quandle cocycle invariants of knots are studied. In particular, for an infinite family of quandles, the non-triviality of quandle homology groups is proved for all odd dimensions.
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Citation / Publisher Attribution
Journal of Knot Theory and Its Ramifications, v. 18, issue 2, p. 151-165
Scholar Commons Citation
Ameur, Kheira and Saito, Masahico, "Polynomial Cocycles of Alexander Quandles and Applications" (2009). Mathematics and Statistics Faculty Publications. 129.