Heidelberg 2007 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 4: Quantenmechanik, Symmetrien, Integrable Systeme und Quanteninformationstheorie

MP 4.1: Vortrag

Dienstag, 6. März 2007, 17:00–17:30, KIP SR 1.403

New knot and link invariant operators from plethystic branchings — •Bertfried Fauser — Max Planck Institut für Mathematik, Inselstr. 22-26, D-040130 Leipzig, Germany

We show that the character ring Hopf algebras of centralizer subgroups of GL(n), in the stable limit n→ ∞, are braided monoidal tensor chategories. Using the induced braiding, we can colour knots and links using representations of any such subgroups. We show that all Reidemeister moves of ambient isotopy are fulfilled and explain how we can obtain knot and link invariants from this setting.

Joint work with P.D. Jarvis, Hobart, Ronald C. King, Southampton.