Chern numbers for two families of noncommutative Hopf fibrations |
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| Authors: | Piotr M Hajac Rainer Matthes Wojciech Szymański |
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| Institution: | 1. Mathematisches Institut, Universität München, Theresienstr. 39, 80333 München, Germany;2. Instytut Matematyczny, Polska Akademia Nauk, ul. ?niadeckich 8, Warszawa 00-956, Poland;3. Katedra Metod Matematycznych Fizyki, Uniwersytet Warszawski, ul. Ho?a 74, Warszawa 00-682, Poland;4. Fachbereich 2, TU Clausthal, Leibnizstr. 4, 38678 Clausthal-Zellerfeld, Germany;5. School of Mathematical and Physical Sciences, The University of Newcastle, Callaghan, NSW 2308, Australia |
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| Abstract: | We consider noncommutative line bundles associated with the Hopf fibrations of SUq(2) over all Podle? spheres and with a locally trivial Hopf fibration of S3pq. These bundles are given as finitely generated projective modules associated via 1-dimensional representations of U(1) with Galois-type extensions encoding the principal fibrations of SUq(2) and S3pq. We show that the Chern numbers of these modules coincide with the winding numbers of representations defining them. To cite this article: P.M. Hajac et al., C. R. Acad. Sci. Paris, Ser. I 336 (2003). |
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