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Titlebook: Quantum Field Theory and Noncommutative Geometry; Ursula Carow-Watamura,Yoshiaki Maeda,Satoshi Watam Book 2005 Springer-Verlag Berlin Heid

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From Quantum Tori to Quantum Homogeneous Spaces,We construct dual objects for quantum complex projective spaces as quantum homogeneous spaces of quantum unitary groups, in which the deformation parameters are antisymmetric matrices.
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Classification of All Quadratic Star Products on a Plane* **,In this paper we classify all quadratic star products on a plane by using Hochschild cohomology and Poisson cohomology.
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Noncommutative Line Bundles and Gerbes,We introduce noncommutative line bundles and gerbes within the framework of deformation quantization. The Seiberg-Witten map is used to construct the corresponding noncommutative Čech cocycles. Morita equivalence of star products and quantization of twisted Poisson structures are discussed from this point of view.
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Quantum Field Theory and Noncommutative Geometry978-3-540-31526-1Series ISSN 0075-8450 Series E-ISSN 1616-6361
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Local Models for Manifolds with Symplectic Connections of Ricci Type*,ion procedure from the Euclidean space R. endowed with a constant symplectic structure and the standard flat connection. We also prove that on the bundle of symplectic frames . over ., there exists a 1-form with values in the algebra .(.+1,R) which locally satisfies a Maurer-Cartan type equation.
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