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arXiv · 0803.1732

On the LMO conjecture

Takahito Kuriya
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Abstract

We give a proof of the LMO conjecture which say that for any simply connectd simple Lie group $G$, the LMO invariant of rational homology 3-spheres recovers the perturvative invariant $τ^{PG}$. By Habiro-Le theorem, this implies that the LMO invariant is the universal quantum invariant of integral homology 3-spheres.

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Takahito Kuriya. 2008-03-12. On the LMO conjecture. https://arxiv.org/abs/0803.1732

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