Classification of ordered nonsingular configurations of at most seven lines of ℝP 3 up to rigid isotopy

A projective m-configuration is a collection of m nonoriented pairwise disjoint lines in ℝP ³. An isotopy consisting of projective m-configurations is called a rigid isotopy. In the paper, the rigid isotopy classification of ordered projective m-configurations is obtained for m≤7. Bibliography: 11 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 231, 1995, pp. 269–285. Translated by V. F. Mazurovskii.