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A. Wright - Nearly Fuchsian surface subgroups of finite covolume Kleinian groups


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A. Wright - Nearly Fuchsian surface subgroups of finite covolume Kleinian groups

Multicurves have played a fundamental role in the study of mapping class groups of surfaces since the work of Dehn. A beautiful method of describing such systems on the n-punctured disk is given by the Dynnikov coordinate system.  In this talk we describe polynomial time algorithms for calculating the number of connected components of a multi curve, and the geometric intersection number of two multicurves on the n-punctured disk, taking as input their Dynnikov coordinates.  This is joint work

 

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