# 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 - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

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.

Autor: Takahito Kuriya, Thang T. Q. Le, Tomotada Ohtsuki

Fuente: https://arxiv.org/