# On the LMO conjecture - Mathematics > Geometric Topology

Abstract: We give a proof of the LMO conjecture which say that for any simply connectdsimple Lie group $G$, the LMO invariant of rational homology 3-spheres recoversthe perturvative invariant $\tau^{PG}$. By Habiro-Le theorem, this implies thatthe LMO invariant is the universal quantum invariant of integral homology3-spheres.

Author: Takahito Kuriya

Source: https://arxiv.org/