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Configurations of curves and geodesics on surfaces
Joel Hass and Peter Scott
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Geometry & Topology Monographs 2
(1999) 201–213
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Abstract
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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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Keywords
Geodesics, configurations, curves on
surfaces, double points
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Mathematical Subject Classification
Primary: 53C22
Secondary: 57R42
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Publication
Received: 22 March 1999
Revised: 23 August 1999
Published: 18 November 1999
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