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Dendriform di-algebra algorithms to compute using Loday's arithmetic on groves of planar binary trees
This paper presents an explanation of integrability in statistical physics, quantum groups, & knot theory. It discusses the 6 vertex model, its connection to Yang-Baxter equation, leading to YB algebras & quantum groups. Introduces the Jones polynomial's connections to Artin's braid group & tangles, and role in defining quantum invariants of knots.
The LaTeX files of my dissertation and two related papers.