Geometry & Topology Monographs 2 (1999) 201–213

DOI: 10.2140/gtm.1999.2.201

arXiv: math.GT/9903130

Abstract

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.

Keywords

Geodesics, configurations, curves on surfaces, double points

Mathematical Subject Classification

Primary: 53C22

Secondary: 57R42

References

Publication

Received: 22 March 1999
Revised: 23 August 1999
Published: 18 November 1999

Authors