Extensions of Quandles and Cocycle Knot Invariants

Authors

J. Scott Carter, University of South Alabama
Mohamed Elhamdadi, University of South FloridaFollow
Marina Appiou Nikiforou, University of South Florida
Masahico Saito, University of South FloridaFollow

Document Type

Article

Publication Date

2003

Keywords

Quandles, extensions, 2-cocycles, cocycle knot invariants

Digital Object Identifier (DOI)

https://doi.org/10.1142/S0218216503002718

Abstract

Quandle cocycles are constructed from extensions of quandles. The theory is parallel to that of group cohomology and group extensions. An interpretation of quandle cocycle invariants as obstructions to extending knot colorings is given, and is extended to links component-wise.

Was this content written or created while at USF?

Yes

Citation / Publisher Attribution

Journal of Knot Theory and Its Ramifications, v. 12, issue 6, p. 725-738

Scholar Commons Citation

Carter, J. Scott; Elhamdadi, Mohamed; Nikiforou, Marina Appiou; and Saito, Masahico, "Extensions of Quandles and Cocycle Knot Invariants" (2003). Mathematics and Statistics Faculty Publications. 130.
https://digitalcommons.usf.edu/mth_facpub/130