1996/07/31 by Dirk Kreimer · 33 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic number #Combinatorics #Connection (principal bundle) #Geometric and Algebraic Topology #Geometry #Jones polynomial #Knot (papermaking) #Knot invariant #Knot theory #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics #Quantum invariant #Renormalization #hep-th #math.QA #q-alg #semigroups and automata theory
paper · pdf · doi:10.1142/s0218216597000315
published in Journal of Knot Theory and Its Ramifications 06(04), 479-581 (World Scientific) · 103 pages with 61 figures, uses LaTeX with epsf. Habilschrift. References updated, few minor Typos corrected
arxiv created 1997/07/28 · openalex publication_date 1997/08/01 · arxiv updated 2011/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
We investigate to what extent renormalization can be understood as an algebraic manipulation on concatenated one-loop integrals. We find that the resulting algebra indicates a useful connection to knot theory as well as number theory and report on recent results in support of this connection.