1998/12/13 by J.M.F. Labastida, J. M. F. Labastida, Labastida, J. M. F. +2
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Chern–Simons theory #Context (archaeology) #FOS: Physical sciences #Gauge (firearms) #Gauge theory #Geology #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #History #Homotopy and Cohomology in Algebraic Topology #Mathematical physics #Mathematics #Paleontology #Physics #Theoretical physics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9812105
Invited lecture at the Workshop on New Developments in Algebraic Topology, Faro 1998, 17 pages, latex, epsf, 7 figures, 2 tables, figure 7 has been improved
openalex publication_date 1998/12/13 · arxiv created 1998/12/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We summarize the progress made during the last few years on the study of Vassiliev invariants from the point of view of perturbative Chern-Simons gauge theory. We argue that this approach is the most promising one to obtain a combinatorial universal formula for Vassiliev invariants. The combinatorial expressions for the two primitive Vassiliev invariants of order four, recently obtained in this context, are reviewed and rewritten in terms of Gauss diagrams.