2017/04/09 by WonHyuk Choi, Choi, WonHyuk, Deanna Needell +3
Mathematics · #57M25 #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #math.GT #math.QA #msc:57M25 #msc:57M27
paper · pdf · doi:10.48550/arxiv.1704.02555
10 Pages, v3 updates email addresses and corrects a few typos. To appear in JKTR
arxiv created 2018/09/23 · arxiv updated 2018/09/25
In this paper, we build on the biquasiles and dual graph diagrams introduced in arXiv:1610.06969. We introduce biquasile Boltzmann weights that enhance the previous knot coloring invariant defined in terms of finite biquasiles and provide examples differentiating links with the same counting invariant, demonstrating that the enhancement is proper. We identify conditions for a linear function ϕ:ℤn[X3]→ℤn to be a Boltzmann weight for an Alexander biquasile X.