2024/06/07 by Jablonowski, Michal · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.2406.04987
We present the CWR invariant, a new invariant for alternating links, which builds upon and generalizes the WRP invariant. The CWR invariant is an array of two-variable polynomials that provides a stronger invariant compared to the WRP invariant. We compare the strength of our invariant with the classical HOMFLYPT, Kauffman 3-variable, and Kauffman 2-variable polynomials on specific knot examples. Additionally, we derive general recursive "skein" relations, and also specific formulas for the initial components of the CWR invariant using weighted adjacency matrices of modified Tait graphs.