A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf
.
Rack module enhancements of counting invariants
We introduce a modified rack algebra [X] for racks X with finite rack rank N . We use representations of [X] into rings, known as rack modules, to define enhancements of the rack counting invariant for classical and virtual knots and links. We provide computations and examples to show that the new invariants are strictly stronger than the unenhanced counting invariant and are not determined by the Jones or Alexander polynomials.
doi:10.18910/7578
fatcat:dkc2w7qykfehtfonqhpiokpvhy