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The Structure of Line Bundles over Quantum Teardrops
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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The Structure of Line Bundles over Quantum Teardrops
Інший ID:
2010 Mathematics Subject Classification: 46L85; 58B32
DOI:10.3842/SIGMA.2014.027
DOI:10.3842/SIGMA.2014.027
Посилання:
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.
Підтримка:
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.
Дата:
2014
Переглядів:
497
Завантажень:
222
Анотація:
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.
