1995/09/26 by Terry Gannon, T. Gannon, Mark A. Walton +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Fundamental theorem of Galois theory #Galois theory #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Knot (papermaking) #Knot invariant #Knot theory #Skein relation #Topological quantum field theory #Tricolorability #hep-th #math.QA #q-alg
paper · pdf · doi:10.1007/bf00398319
published in Letters in Mathematical Physics 38(2), 185-194 (Springer Science+Business Media) · 9 pages, plain tex Some minor corrections made to text, one reference added
arxiv created 1995/09/26 · openalex publication_date 1996/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We discuss the existence of Galois relations obeyed by certain link invariants. Some of these relations have recently been identified and exploited within the context of CFT and Lie/Kac-Moody representation theory. These relations should aid in computing knot invariants. They probably have an interpretation in terms of quasitriangular (quasi-)Hopf algebras. They could also have a topological interpretation, and may serve as a concrete model for related ideas of Degiovanni, Drinfeld, Grothendieck, Ihara, and others.