%0 Journal Article
%T On the Kontsevich integral for knotted trivalent graphs
%A Zsuzsanna Dancso
%J Mathematics
%D 2008
%I arXiv
%R 10.2140/agt.2010.10.1317
%X We construct an extension of the Kontsevich integral of knots to knotted trivalent graphs, which commutes with orientation switches, edge deletions, edge unzips, and connected sums. In 1997 Murakami and Ohtsuki [MO] first constructed such an extension, building on Drinfel'd's theory of associators. We construct a step by step definition, using elementary Kontsevich integral methods, to get a one-parameter family of corrections that all yield invariants well behaved under the graph operations above.
%U http://arxiv.org/abs/0811.4615v3