English

On the LMO conjecture

Geometric Topology 2008-03-13 v1 Quantum Algebra

Abstract

We give a proof of the LMO conjecture which say that for any simply connectd simple Lie group GG, the LMO invariant of rational homology 3-spheres recovers the perturvative invariant τPG\tau^{PG}. By Habiro-Le theorem, this implies that the LMO invariant is the universal quantum invariant of integral homology 3-spheres.

Keywords

Cite

@article{arxiv.0803.1732,
  title  = {On the LMO conjecture},
  author = {Takahito Kuriya},
  journal= {arXiv preprint arXiv:0803.1732},
  year   = {2008}
}

Comments

11 pages, 5 figures

R2 v1 2026-06-21T10:20:47.917Z