Geodesic
Configurations of six skew lines
Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 6, Tome 167 (1988), pp. 121-134

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In this paper we give a classification of nonsingular configurations of 6 lines of the space $\mathbb{R}P^3$ with respect to right isotopy (in the course of a rigid isotopy the lines remain pairwise disjoint lines) and prove that up to rigid isotopies nonsingular configurations of $\geq6$ lines are not determined by the linking coefficients. 
@article{ZNSL_1988_167_a8,
     author = {V. F. Mazurovskii},
     title = {Configurations of six skew lines},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {121--134},
     publisher = {mathdoc},
     volume = {167},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_167_a8/}
}
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V. F. Mazurovskii. Configurations of six skew lines. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 6, Tome 167 (1988), pp. 121-134. http://geodesic.mathdoc.fr/item/ZNSL_1988_167_a8/