Betti Numbers of Defects Field
Kazuhito Yamasaki · Forma · 2007
The algebraic topological aspect of defects field is considered by using the useful topological invariant: Betti numbers. We suggest that the topological nature of the dislocation field is expressed in terms of strength of the dislocation corresponding to the change in the first Betti number. We also show that Frank vectors of the disclinations are related to the first Betti number.