Lecture series on the Le-Murakami Ohtsuki Invariant

The Le-Murakami-Ohtsuki invariant is a powerful invariant of 3-manifolds (universal among quantum invariants and finite-type invariants), in particular it dominates all the Reshetikhin-Turaev invariants. The LMO invariant takes values in a space of graphs called Jacobi diagrams or Feynman diagrams. Its original definition uses the Kontsevich integral of links, the so-called iota maps and several projection maps between different quotients of spaces of Jacobi diagrams. In this series of two talks we survey the original construction of this invariant.