AN ATTEMPT AT A NEW CLASSIFICATION OF CICY MANIFOLDS

Using a recently proposed list of 97,360 complete intersection Calabi-Yau manifolds, we attempt to select some promising three- and four-generation manifolds. We classify the configurations surviving the selection tests by breaking the associated diagrams into kernels and extensions and by regrouping configurations having the same kernels into families. The resulting classification for the surviving three- and four-generation manifolds is presented.