The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant

Details The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant

2010-05-21

arxiv.org/abs/1005.3895v1

Mathematics

Geometric Topology

30 pages

Scientific paper

We show that the perturbative ${\frak g}$ invariant of rational homology 3-spheres can be recovered from the LMO invariant for any simple Lie algebra ${\frak g}$, i.e, the LMO invariant is universal among the perturbative invariants. This universality was conjectured in [25]. Since the perturbative invariants dominate the quantum invariants of integral homology 3-spheres [13,14,15], this implies that the LMO invariant dominates the quantum invariants of integral homology 3-spheres.

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