Examples/classes:
Types
Related concepts:
algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)
quantum mechanical system, quantum probability
interacting field quantization
The Wheels theorem says that the perturbative Wilson loop observable (Kontsevich integral) of the unknot is, as a universal Vassiliev invariant with values in Jacobi diagrams, a series of wheel-shaped Jacobi diagrams with coefficients the modified Bernoulli numbers.
The full proof is due to
The weaker version for Lie algebra weight systems was proven in:
Version for Rozansky-Witten weight systems:
Justin Sawon, Rozansky-Witten invariants of hyperkähler manifold, Cambridge 2000 (arXiv:math/0404360)
Justin Roberts, Simon Willerton, Section 8 of: On the Rozansky-Witten weight systems, Algebr. Geom. Topol. 10 (2010) 1455-1519 (arXiv:math/0602653)
Review:
Last revised on January 1, 2020 at 18:01:42. See the history of this page for a list of all contributions to it.