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math.CO2007★ 15 cited
Tutte chromatic identities from the Temperley-Lieb algebra
Paul Fendley, Vyacheslav Krushkal
This paper introduces a conceptual framework, in the context of quantum topology and the algebras underlying it, for analyzing relations obeyed by the chromatic polynomial χ(Q) of…
cond-mat.stat-mech2007★ 5 cited
Quantum loop models and the non-abelian toric code
Paul Fendley
I define quantum loop models whose degrees of freedom are Ising spins on the square lattice as in the toric code, but where the excitations should have non-abelian statistics. The…