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I introduce in kappa-Minkowski noncommutative spacetime the basic tools of quantum differential geometry, namely bicovariant differential calculus, Lie and inner derivatives, the integral, the Hodge-star and the metric.
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J. Lukierski, A. Nowicki, and H. Ruegg, “New quantum Poincaré algebra and κ \kappa -deformed field theory,” Phys. Lett
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F. Mercati and A. Sitarz, “ κ \kappa -Minkowski differential calculi and star product,” Proc. Sci
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S. Majid, Foundations of Quantum Group Theory · 2000
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G. Amelino-Camelia and S. Majid, “Waves on noncommutative spacetime and gamma-ray bursts,” Int. J. Mod. Phys
2000
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J. Kustermans, G. J. Murphy, and L. Tuset, “Differential calculi over quantum groups and twisted cyclic cocycles,” J. Geom. Phys
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S. Majid, “Algebraic approach to quantum gravity II: noncommutative spacetime,” hep-th/0604130v1
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B. Durhuus and A. Sitarz, “Star product realizations of kappa-Minkowski space,” arXiv:1104.0206
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2011
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2063
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S. Zakrzewski, “Quantum Poincare group related to the kappa -Poincare algebra,” J. Phys
2075
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