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Loops on surfaces, Feynman diagrams, and trees

Authors
  • Turaev, Vladimir
Type
Published Article
Publication Date
Apr 23, 2004
Submission Date
Mar 26, 2004
Identifiers
DOI: 10.1016/j.geomphys.2004.07.010
arXiv ID: hep-th/0403266
Source
arXiv
License
Unknown
External links

Abstract

We relate the author's Lie cobracket in the module additively generated by loops on a surface with the Connes-Kreimer Lie bracket in the module additively generated by trees. To this end we introduce a pre-Lie coalgebra and a (commutative) Hopf algebra of pointed loops on a surface. In the last version I added sections on Wilson loops and knot diagrams.

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