# The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant - Mathematics > Geometric Topology

The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant - Mathematics > Geometric Topology - Download this document for free, or read online. Document in PDF available to download.

Abstract: We show that the perturbative ${\frak g}$ invariant of rational homology3-spheres can be recovered from the LMO invariant for any simple Lie algebra${\frak g}$, i.e, the LMO invariant is universal among the perturbativeinvariants. This universality was conjectured in 25. Since the perturbativeinvariants dominate the quantum invariants of integral homology 3-spheres13,14,15, this implies that the LMO invariant dominates the quantuminvariants of integral homology 3-spheres.

Author: ** Takahito Kuriya, Thang T. Q. Le, Tomotada Ohtsuki**

Source: https://arxiv.org/