Balazs Strenner (GA Tech) - Fast computation in mapping class groups
Опубликовано: 29 Июль 2026
на канале: 2017-2018 Warwick EPSRC Symposium on Geometry, Topology and Dynamics in Low Dimensions
на канале: 2017-2018 Warwick EPSRC Symposium on Geometry, Topology and Dynamics in Low Dimensions
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Geometry of Teichmüller space and mapping class groups
12 April 2018
Abstract: I will give an update on our project with Dan Margalit and Oyku Yurttas whose goal is to give a framework for fast computation in mapping class groups. We show that there is a quadratic-time algorithm that computes the Nielsen-Thurston type of a mapping class (finite order, pseudo-Anosov or reducible). The algorithm also finds the reducing curves and the stretch factors and invariant foliations on pseudo-Anosov components. An implementation is now under way as well.