"Polynomial Cocycles of Alexander Quandles and Applications" by Kheira Ameur and Masahico Saito
 

Polynomial Cocycles of Alexander Quandles and Applications

Document Type

Article

Publication Date

2009

Keywords

Alexander quandles, quandle cohomology, quandle cocycle invariants

Digital Object Identifier (DOI)

https://doi.org/10.1142/S0218216509006938

Abstract

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.

Was this content written or created while at USF?

Yes

Citation / Publisher Attribution

Journal of Knot Theory and Its Ramifications, v. 18, issue 2, p. 151-165

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