# Triangulation of 3-manifolds ## Refs - with totally geodesic boundary - [[1990#Kojima]]: canonical triangulation - [[1990#Fujii]]: classification for manifolds with 2 or fewer tetrahedra - [[2002#Frigerio, Martelli, Petronio]]: classification for manifolds with 4 or fewer tetrahedra - complexity - [[1990#Matveev]]: defines complexity, lists all closed orientable manifolds with complex 6 or less - review - [[2025#Hartman (Jul, b)]] ## Complexity Complexity equals the minimal number of tetrahedra in an ideal triangulation, when $M$ is boundary-irreducible and acylindrical, but not necessarily atoroidal.