On the LMO conjecture

Mathematics – Geometric Topology

Scientific paper

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11 pages, 5 figures

Scientific paper

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 $\tau^{PG}$. By Habiro-Le theorem, this implies that
the LMO invariant is the universal quantum invariant of integral homology
3-spheres.

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