🔬 Discovery

Jones polynomial and quantum topology

Polinomio de Jones y topología cuántica

Date
1984 · confidence high
Place
Berkeley, California, United States
Credited to
Vaughan Jones; physical interpretation by Edward Witten (1989)
People
👤 Vaughan Jones1952–2020
Field
Knowledge & symbols

What was discovered

A new knot invariant discovered from von Neumann algebras, which Witten reinterpreted using Chern-Simons quantum field theory. It opened up quantum topology and the relationship between knots and physics.

Jones and Witten received the Fields Medal in 1990.

What it led to

  • quantum invariants
  • Khovanov homology
  • topological quantum computing
  • knot theory applied to DNA
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