Configurations of curves and geodesics on surfaces

Details Configurations of curves and geodesics on surfaces Configurations of curves and geodesics on surfaces

1999-03-22

arxiv.org/abs/math/9903130v2

Geom. Topol. Monogr. 2 (1999), 201-213

Mathematics

Geometric Topology

13 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper11.abs.html

Scientific paper

We study configurations of immersed curves in surfaces and surfaces in
3-manifolds. Among other results, we show that primitive curves have only
finitely many configurations which minimize the number of double points. We
give examples of minimal configurations not realized by geodesics in any
hyperbolic metric.

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