Spindle-configurations of skew lines

Bacher, Roland¹ ; Garber, David²

¹ Institut Fourier, BP 74 38402 Saint-Martin D’Heres Cedex, France
² Department of Applied Mathematics, School of Sciences, Holon Institute of Technology, 52 Golomb Street, PO Box 305, 58102 Holon, Israel

Geometry & topology, Tome 11 (2007) no. 2, pp. 1049-1081.

Résumé

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.

Détail

DOI : 10.2140/gt.2007.11.1049

Keywords: configurations of skew lines, spindles, linking matrix, switching graphs, permutation

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