Some Complex Quantum Manifolds and their Geometry

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After recalling briefly some basic properties of the quantum group $GL_q(2)$, we study the quantum sphere $S_q^2$, quantum projective space $CP_q(N)$ and quantum Grassmannians as examples of complex (Kähler) quantum manifolds. The differential and integral calculus on these manifolds are discussed. It is shown that many relations of classical projective geometry generalize to the quantum case. For the case of the quantum sphere a comparison is made with A. Connes' method.
Cargese lectures, July 1996, one figure, Full postscript available from http://theor1.lbl.gov/www/theorgroup/papers/39275.ps

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/54713

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9608188
 http://arxiv.org/abs/hep-th/9608188

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arXiv