The Structure of Line Bundles over Quantum Teardrops
Over the quantum weighted 1-dimensional complex projective spaces, called quantum teardrops, the quantum line bundles associated with the quantum principal U(1)-bundles introduced and studied by Brzezinski and Fairfax are explicitly identified among the finitely generated projective modules which ar...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2014 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146831 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The Structure of Line Bundles over Quantum Teardrops / Albert Jeu-Liang Sheu // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 28 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862664216117248000 |
|---|---|
| author | Albert Jeu-Liang Sheu |
| author_facet | Albert Jeu-Liang Sheu |
| citation_txt | The Structure of Line Bundles over Quantum Teardrops / Albert Jeu-Liang Sheu // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 28 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Over the quantum weighted 1-dimensional complex projective spaces, called quantum teardrops, the quantum line bundles associated with the quantum principal U(1)-bundles introduced and studied by Brzezinski and Fairfax are explicitly identified among the finitely generated projective modules which are classified up to isomorphism. The quantum lens space in which these quantum line bundles are embedded is realized as a concrete groupoid C*-algebra.
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| first_indexed | 2025-12-07T15:13:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146831 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:13:30Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Albert Jeu-Liang Sheu 2019-02-11T16:42:51Z 2019-02-11T16:42:51Z 2014 The Structure of Line Bundles over Quantum Teardrops / Albert Jeu-Liang Sheu // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 28 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 46L85; 58B32 DOI:10.3842/SIGMA.2014.027 https://nasplib.isofts.kiev.ua/handle/123456789/146831 Over the quantum weighted 1-dimensional complex projective spaces, called quantum teardrops, the quantum line bundles associated with the quantum principal U(1)-bundles introduced and studied by Brzezinski and Fairfax are explicitly identified among the finitely generated projective modules which are classified up to isomorphism. The quantum lens space in which these quantum line bundles are embedded is realized as a concrete groupoid C*-algebra. This paper is a contribution to the Special Issue on Noncommutative Geometry and Quantum Groups in
 honor of Marc A. Rief fel. The full collection is available at http://www.emis.de/journals/SIGMA/Rieffel.html.
 The author would like to acknowledge the hospitality and support by the National Center for
 Theoretical Sciences in Taipei during his 2013 summer visit, and the support by Jonathan Rosenberg’s
 conference grant, NSF-1266158, to attend the Conference on Noncommutative Geometry
 and Quantum Groups at the Fields Institute in Toronto, 2013–2014. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Structure of Line Bundles over Quantum Teardrops Article published earlier |
| spellingShingle | The Structure of Line Bundles over Quantum Teardrops Albert Jeu-Liang Sheu |
| title | The Structure of Line Bundles over Quantum Teardrops |
| title_full | The Structure of Line Bundles over Quantum Teardrops |
| title_fullStr | The Structure of Line Bundles over Quantum Teardrops |
| title_full_unstemmed | The Structure of Line Bundles over Quantum Teardrops |
| title_short | The Structure of Line Bundles over Quantum Teardrops |
| title_sort | structure of line bundles over quantum teardrops |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146831 |
| work_keys_str_mv | AT albertjeuliangsheu thestructureoflinebundlesoverquantumteardrops AT albertjeuliangsheu structureoflinebundlesoverquantumteardrops |