辛几何中的Ammann镶嵌
Ammann Tilings in Symplectic Geometry
摘要：
本文从辛几何的角度研究Ammann镶嵌。Ammann镶嵌是与具有二十面体对称性的准晶相关的非周期镶嵌。我们关联到每个Ammann平铺两个明确构建的高度奇异辛空间，我们表明，他们是同构的，但不辛。这些空间继承了瓷砖非常有趣的对称性。
英文摘要：
In this article we study Ammann tilings from the perspective of symplectic geometry. Ammann tilings are nonperiodic tilings that are related to quasicrystals with icosahedral symmetry. We associate to each Ammann tiling two explicitly constructed highly singular symplectic spaces and we show that they are diffeomorphic but not symplectomorphic. These spaces inherit from the tiling its very interesting symmetries.
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