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On the group-like behaviour of the Le-Murakami-Ohtsuki invariant

We study the effect of Feynman integration and diagrammatic differential operators on the structure of group-like elements in the algebra generated by coloured vertex-oriented uni-trivalent graphs. We provide applications of our results to the study of the LMO invariant, a quantum invariant of manifolds. We also indicate further situations in which our results apply and may prove useful. The enumerative approach that we adopt has a clarity that has enabled us to perceive a number of generalizations.

preprint2006arXivOpen access
David M. JacksonIain MoffattAlejandro Morales
math.QA
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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David M. JacksonIain MoffattAlejandro Morales

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