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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2013 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149220 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862652796996681728 |
|---|---|
| author | Battaglia, F. Prato, E. |
| author_facet | Battaglia, F. Prato, E. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-01T21:59:46Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149220 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T21:59:46Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Ammann Tilings in Symplectic Geometry Battaglia, F. Prato, E. |
| title | 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_short | Ammann Tilings in Symplectic Geometry |
| title_sort | ammann tilings in symplectic geometry |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149220 |
| work_keys_str_mv | AT battagliaf ammanntilingsinsymplecticgeometry AT pratoe ammanntilingsinsymplecticgeometry |