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Titlebook: Geometry and Quantum Physics; Proceedings of the 3 H. Gausterer,L. Pittner,Harald Grosse Conference proceedings 2000 Springer-Verlag Berlin

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https://doi.org/10.1007/3-540-46552-9Algebraic Quantum Field Theory; Minkowski space; Non-Commutative Geometry; Particle Physics; Quantum Gra
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Notes on Equivariant Localization,istermaat-Heckman. We explain the Weil model of equivariant cohomology and recall its relation to BRST. We show how to quantize the Weil model, and obtain new localization formulas which, in particular, apply to Hamiltonian spaces with group valued moment maps.
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Noncommutative Geometry and Basic Physics,le) is a systematic quantization of mathematics parallel to the quantization of physics effected in the twenties.This theory widens the scope of mathematics in a manner congenial to physics, reorganizes the existing (“classical”) mathematics of which it produces an hitherto unsuspected unification,
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Geometric Properties of Transport in Quantum Hall Systems,t book D. J. Thouless (1998), as well as to M. Stone (1992). Let us recall how a quantum Hall system in a laboratory looks like: a strong magnetic field runs perpendicular through a probe of a conductor or semiconductor, forming a two-dimensional system; this setup is typically realized as inversion
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Noncommutative Supergeometry of Graded Matrix Algebras,gebra of graded derivations. Especially for the .-graded .-algebra (M .|.) of (.+.) × (.+.)-matrices with block-matrix grading (., . ∈ N., .≠.) the resulting differential algebra (. . (M .|.), d) coincides— as far as we are interested only in its linear structure - with the cochain complex of the Li
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