Mathematics – Geometric Topology
Scientific paper
2007-04-30
Mathematics
Geometric Topology
Scientific paper
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.
Ameur Kheira
Saito Masahico
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