Some Complex Quantum Manifolds and their Geometry

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dc.creatorChu, Chong-Sun
dc.creatorHo, Pei-Ming
dc.creatorZumino, Bruno
dc.date1996-08-29
dc.date.accessioned2026-07-07T04:22:26Z
dc.date.available2026-07-07T04:22:26Z
dc.descriptionAfter 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.
dc.descriptionCargese lectures, July 1996, one figure, Full postscript available from http://theor1.lbl.gov/www/theorgroup/papers/39275.ps
dc.identifierhttps://arxiv.org/abs/hep-th/9608188
dc.identifierhttp://arxiv.org/abs/hep-th/9608188
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54713
dc.subjectHigh Energy Physics - Theory
dc.titleSome Complex Quantum Manifolds and their Geometry
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