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

David M. Jackson·Iain Moffatt·Alejandro Morales
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Abstract

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.

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David M. Jackson, Iain Moffatt, Alejandro Morales. 2006-03-31. On the group-like behaviour of the Le-Murakami-Ohtsuki invariant. https://doi.org/10.1142/s0218216507005452

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