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Titlebook: New Symmetry Principles in Quantum Field Theory; J. Fröhlich,G. Hooft,R. Stora Book 1992 Springer Science+Business Media New York 1992 bla

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The Metric Aspect of Noncommutative Geometry the homology of differential forms on noncommutative spaces (cyclic homology) and vector bundles on noncommutative spaces (K-theory) [Col]. However, the essence of geometry has to do with the metric properties of spaces.
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Non-Commutative Geometry and Mathematical Physicsng new points of view in mathematics. This can range, on the one hand, from giving technical insights into the proof of a theorem, to motivating, on the other hand, whole new subfields of investigation.
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Whitham Theory for Integrable Systems and Topological Quantum Field Theoriese theory of topological gravity coupled with topological matter fields, the theory of matrix models and, finally, the theory of integrable soliton equations with special Virasoro constraints have been found [1–11]. The main goal of these few lectures is to present the results of perturbation theory
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