Wikinventia — Atlas of discoveries and inventions · Global Age

The Jones polynomial in knot theory — Vaughan Jones

1984 AD · Transmission: Global
MathematicsMethodNordic

Vaughan Jones discovers in 1984 a new polynomial invariant for knots and links — the so-called Jones polynomial — while investigating von Neumann algebras and operator algebras, an area in principle completely unrelated to classical knot theory. The finding surprises the mathematical community by revealing an unexpected connection between two fields considered independent, and opens later lines of research that would connect knot theory to theoretical physics, in particular to the topological quantum field theory developed by Edward Witten. Jones received the Fields Medal in 1990.

InstitutionUniversity of Pennsylvania
Historical regionNew Zealand
Primary sourceJones, V. F. R. — "A polynomial invariant for knots via von Neumann algebras" (Bulletin of the American Mathematical Society, 12, 1985, result announced in 1984)
Secondary sourceInternational Mathematical Union — Fields Medal citation 1990
Original languageEnglish
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