论文标题

理性同源性的彩色对称性3个spheres,覆盖右角层次

Coloured symmetries of rational homology 3-spheres that cover right-angled polytopes

论文作者

Ferrari, Leonardo

论文摘要

在本文中,我们研究了通过右色的多型通过着色获得的有理同源性的双曲线歧管。我们研究了将歧管的镶嵌物保存到多面体中的理性同源性领域的不同类型的对称性的存在(或不存在)。我们还描述了如何用给定的对称性创建着色。

In the present paper we study hyperbolic manifolds that are rational homology 3-spheres obtained by colouring of right--angled polytopes. We study the existence (or absence) of different kinds of symmetries of rational homology spheres that preserve the tessellation of the manifold into polytopes. We also describe how to create colourings with given symmetries.

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