关于汤普森群的几何

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-10-01 DOI:10.1016/S0764-4442(01)02143-7

Xavier Martin

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引用次数: 8

摘要

利用teichm ller理论中的λ坐标，研究了相对teichm ller空间上的Thompson群T的作用，该空间是由分段投影同胚定义的。作为应用，我们给出了BT与自由环空间LS3之间的同调等价的几何解释。

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Sur la géométrie du groupe de Thompson

Using lambda coordinates from Teichmüller theory, we study the action of the Thompson group T on a relative Teichmüller space, which is defined in terms of piecewise projective homeomorphisms. As an application, we give a geometric interpretation of the homology equivalence between BT and the free loop space $L S^{3}$ .

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Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

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