English

Jaeger's Higman-Sims state model and the B_2 spider

Quantum Algebra 2016-09-06 v1

Abstract

Jaeger [Geom. Dedicata 44 (1992), 23-52] discovered a remarkable checkerboard state model based on the Higman-Sims graph that yields a value of the Kauffman polynomial, which is a quantum invariant of links. We present a simple argument that the state model has the desired properties using the combinatorial B2B_2 spider [Comm. Math. Phys. 180 (1996), 109-151].

Cite

@article{arxiv.math/9601221,
  title  = {Jaeger's Higman-Sims state model and the B_2 spider},
  author = {Greg Kuperberg},
  journal= {arXiv preprint arXiv:math/9601221},
  year   = {2016}
}
R2 v1 2026-07-22T17:55:59.524Z