arXiv subjects

Kheira Ameur

Publications and source records attributed to Kheira Ameur.

2 recordsLinked to original sources

arXiv2007

Polynomial cocycles of Alexander quandles and applications

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.

math.GT↗

arXiv2007

Tangle embeddings and quandle cocycle invariants

To study embeddings of tangles in knots, we use quandle cocycle invariants. Computations are carried out for the tables of knots and tangles, to investigate which tangles may or may not embed in knots in the tables.

math.GT↗