Spindle-configurations of skew lines

Roland Bacher; David Garber

doi:10.2140/gt.2007.11.1049

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Home > Journals > Geom. Topol. > Volume 11 > Issue 2 > Article

2007 Spindle-configurations of skew lines

Roland Bacher, David Garber

Geom. Topol. 11(2): 1049-1081 (2007). DOI: 10.2140/gt.2007.11.1049

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Abstract

This paper is a contribution to the classification of configurations of skew lines, as studied mainly by Viro and his collaborators. We prove an improvement of a conjecture made by Crapo and Penne which characterizes isotopy classes of skew configurations with spindle-structure. By this result we can define an invariant, spindlegenus, for spindle-configurations.