Quasi-triviality of quandles for link-homotopy
classification
🧮 math.GT
keywords
quandleslink-homotopyinvariantsquasi-trivialquasi-trivialityassociatedcocyclecocycles
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We introduce the notion of quasi-triviality of quandles and define homology of quasi-trivial quandles. Quandle cocycle invariants are invariant under link-homotopy if they are associated with 2-cocycles of quasi-trivial quandles. We thus obtain a lot of numerical link-homotopy invariants.
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