nLab Dror Bar-Natan

Selected writings

On noncommutative probability theory:

On Vassiliev knot invariants from perturbative Chern-Simons theory Feynman amplitudes (see also at graph complex):

On Vassiliev invariants for knots, the proof that chord diagrams modulo 4T are Jacobi diagrams modulo STU etc.:

On Vassiliev invariants of braids via horizontal chord diagrams:

Relation of the colored Jones polynomial to Lie algebra weight systems on chord diagrams:

On the logical equivalence between the four-colour theorem and a statement about transition from the small N limit to the large N limit for Lie algebra weight systems on Jacobi diagrams via the 't Hooft double line construction:

Computation of the perturbative Wilson loop observable (universal Vassiliev invariant of the unknot (“Wheels theorem”):


List of literature on Vassiliev invariants:

On the cochain cohomology of graph complexes:

On the Cayley distance kernel:

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Last revised on May 7, 2021 at 13:29:10. See the history of this page for a list of all contributions to it.