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VIDEO LIBRARY |
International Seminar for Young Researchers "Algebraic, Combinatorial and Toric Topology"
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Distinguishing 4-dimensional geometries via profinite completions Z. Wang Fudan University, Shanghai |
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Abstract: Abstractly saying, it is well-known that there are 19 classes of geometries for 4-dimensional manifolds in the sense of Thurston. We could ask that to what extent the geometric information is revealed by the profinite completion of the fundamental group of a closed smooth geometric 4-manifold. In this paper, we show that the geometry of a closed orientable 4-manifold in the sense of Thurston could be detected by the profinite completion of its fundamental group except when the geometry is Language: English |