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Ammann Tilings in Symplectic Geometry

Vernadsky National Library of Ukraine

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Title Ammann Tilings in Symplectic Geometry
 
Creator Battaglia, F.
Prato, E.
 
Description 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.
 
Date 2019-02-19T18:59:05Z
2019-02-19T18:59:05Z
2013
 
Type Article
 
Identifier Ammann Tilings in Symplectic Geometry / F. Battaglia, E. Prato // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 12 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 53D20; 52C23
DOI: http://dx.doi.org/10.3842/SIGMA.2013.021
http://dspace.nbuv.gov.ua/handle/123456789/149220
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України