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

Abstract

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.

11 pages

References in corpus (3)

• Link invariants from finite racks
• Rack Module Enhancements of Counting Invariants
• (t,s)-racks and their link invariants

Cited by in corpus (1)

• Birack Dynamical Cocycles and Homomorphism Invariants