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...
Збережено в:
| Дата: | 2013 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2013
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149220 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149220 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1492202019-02-20T01:28:02Z Ammann Tilings in Symplectic Geometry Battaglia, F. Prato, E. 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. 2013 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Battaglia, F. Prato, E. |
| spellingShingle |
Battaglia, F. Prato, E. Ammann Tilings in Symplectic Geometry Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Battaglia, F. Prato, E. |
| author_sort |
Battaglia, F. |
| title |
Ammann Tilings in Symplectic Geometry |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT battagliaf ammanntilingsinsymplecticgeometry AT pratoe ammanntilingsinsymplecticgeometry |
| first_indexed |
2023-05-20T17:32:15Z |
| last_indexed |
2023-05-20T17:32:15Z |
| _version_ |
1796153515029037056 |