Loops on surfaces, Feynman diagrams, and trees

DOI10.1016/j.geomphys.2004.07.010zbMath1094.57022arXivhep-th/0403266OpenAlexW2056725239MaRDI QIDQ556169

Vladimir G. Turaev

Publication date: 13 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0403266

zbMATH Keywords

Hopf algebrarooted treespre-Lie algebraalgebra of knot diagramsalgebra of Wilson loopsConnes-Kreimer Lie algebraLie algebra cobracket

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)

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