Polynomial cocycles of Alexander quandles and applications

Details Polynomial cocycles of Alexander quandles and applications Polynomial cocycles of Alexander quandles and applications

2007-04-30

arxiv.org/abs/0704.3995v1

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.

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