Ammann Tilings in Symplectic Geometry
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 th...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2013 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2013
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149220 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Ammann Tilings in Symplectic Geometry / F. Battaglia, E. Prato // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 12 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-149220 |
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dspace |
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Battaglia, F. Prato, E. 2019-02-19T18:59:05Z 2019-02-19T18:59:05Z 2013 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 https://nasplib.isofts.kiev.ua/handle/123456789/149220 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. We would like to thank Ron Lifshitz for his help on the theory of quasicrystals. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Ammann Tilings in Symplectic Geometry Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Ammann Tilings in Symplectic Geometry |
| spellingShingle |
Ammann Tilings in Symplectic Geometry Battaglia, F. Prato, E. |
| title_short |
Ammann Tilings in Symplectic Geometry |
| title_full |
Ammann Tilings in Symplectic Geometry |
| title_fullStr |
Ammann Tilings in Symplectic Geometry |
| title_full_unstemmed |
Ammann Tilings in Symplectic Geometry |
| title_sort |
ammann tilings in symplectic geometry |
| author |
Battaglia, F. Prato, E. |
| author_facet |
Battaglia, F. Prato, E. |
| publishDate |
2013 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149220 |
| citation_txt |
Ammann Tilings in Symplectic Geometry / F. Battaglia, E. Prato // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 12 назв. — англ. |
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AT battagliaf ammanntilingsinsymplecticgeometry AT pratoe ammanntilingsinsymplecticgeometry |
| first_indexed |
2025-12-01T21:59:46Z |
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2025-12-01T21:59:46Z |
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1850861029225922560 |