Quandle cohomology is a Quillen cohomology
Journal article
Submitted version
Permanent lenke
http://hdl.handle.net/11250/2584803Utgivelsesdato
2018Metadata
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- Institutt for matematiske fag [2527]
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Originalversjon
10.1090/tran/7616Sammendrag
Racks and quandles are fundamental algebraic structures related to the topology of knots, braids, and the Yang-Baxter equation. We show that the cohomology groups usually associated with racks and quandles agree with the Quillen cohomology groups for the algebraic theories of racks and quandles, respectively. This makes available the entire range of tools that comes with a Quillen homology theory, such as long exact sequences (transitivity) and excision isomorphisms (flat base change).