Ammann Tilings in Symplectic Geometry

被引：3

作者：

Battaglia, Fiammetta ^{[1
]}

Prato, Elisa ^{[2
]}

机构：

[1] Dipartimento Matemat & Informat U Dini, I-50139 Florence, Italy

[2] Dipartimento Matemat & Informat U Dini, I-50122 Florence, Italy

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2013年 / 9卷

关键词：

symplectic quasifold; nonperiodic tiling; quasilattice;

D O I：

10.3842/SIGMA.2013.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页数：13

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