Enhancements of the rack counting invariant via N-reduced dynamical cocycles

Details Enhancements of the rack counting invariant via N-reduced dynamical cocycles Enhancements of the rack counting invariant via N-reduced dynamical cocycles

2011-08-22

arxiv.org/abs/1108.4387v1

Mathematics

Geometric Topology

11 pages

Scientific paper

We introduce the notion of N-reduced dynamical cocycles and use these objects
to define enhancements of the rack counting invariant for classical and virtual
knots and links. We provide examples to show that the new invariants are not
determined by the rack counting invariant, the Jones polynomial or the
generalized Alexander polynomial.

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