Galois relations on knot invariants |
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Authors: | Terry Gannon Mark A. Walton |
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Affiliation: | (1) Max-Planck-Institut für Mathematik, D-53225 Bonn, Germany;(2) Physics Department, University of Lethbridge, T1K 3M4 Lethbridge, Alberta, Canada;(3) Present address: Department of Mathematics, York University, M3J 1P3 North York, Canada |
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Abstract: | 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 conformal field theory 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 Grothendieck, Drinfeld, Degiovanni, Ihara, and others. |
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Keywords: | 57M25 11R32 17B10 17B64 81T40 |
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