Effective Finiteness of irreducible Heegaard splittings of non Haken   3-manifolds
  The main result is a short effective proof of Tao Li's theorem that a closed non Haken hyperbolic 3-manifold N has at most finitely many irreducible Heegaard splittings. 
Tobias Holck Colding and David Gabai
math.GT math.DG