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: École d’Été 2018 - Teichmüller dynamics, mapping class groups and applications

By Yohan Girard and Alex Wright

Abstract

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 with Toby Hall

Topics: Teichmüller dynamics mapping class groups and applications, Nearly Fuchsian, surface subgroups, finite covolume Kleinian groups, eem2018, Grenoble, [MATH]Mathematics [math]
Publisher: HAL CCSD
Year: 2018
OAI identifier: oai:HAL:medihal-01836658v1
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