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On the group-like behavior of the Le-Murakami-Ohtsuki invariant
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Jackson, David M., Moffatt, Iain and Morales, Alejandro (2007) On the group-like behavior of the Le-Murakami-Ohtsuki invariant. Journal of Knot Theory and its Ramifications, Vol.16 (No.6). pp. 699-718. doi:10.1142/S0218216507005452 ISSN 0218-2165.
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Official URL: http://dx.doi.org/10.1142/S0218216507005452
Abstract
We study the effect of Feynman integration and diagrammatic differential operators on the structure of group-like elements in the algebra generated by colored 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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Knot Theory and its Ramifications | ||||
Publisher: | World Scientific Publishing Co. Pte. Ltd. | ||||
ISSN: | 0218-2165 | ||||
Official Date: | August 2007 | ||||
Dates: |
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Volume: | Vol.16 | ||||
Number: | No.6 | ||||
Number of Pages: | 20 | ||||
Page Range: | pp. 699-718 | ||||
DOI: | 10.1142/S0218216507005452 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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