Configurations of curves and geodesics on surfaces
classification
🧮 math.GT
math.DG
keywords
configurationscurvessurfacesgeodesicsdoubleexamplesfinitelygive
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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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