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Geometry of the Quantum Complex Projective Space $CP_q(N)$

Chong-Sun Chu·Pei-Ming Ho·Bruno Zumino
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Abstract

The quantum deformation $CP_q(N)$ of complex projective space is discussed. Many of the features present in the case of the quantum sphere can be extended. The differential and integral calculus is studied and $CP_q(N)$ appears as a quantum Kähler manifold. The braiding of several copies of $CP_q(N)$ is introduced and the anharmonic ratios of four collinear points are shown to be invariant under quantum projective transformations. They provide the building blocks of all projective invariants. The Poisson limit is also described.

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BibTeXRIS

Chong-Sun Chu, Pei-Ming Ho, Bruno Zumino. 1995-10-21. Geometry of the Quantum Complex Projective Space $CP_q(N)$. https://doi.org/10.1007/s002880050233

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