Titlebook: Nonperturbative Quantum Field Theory; G. Hooft,A. Jaffe,R. Stora Book 1988 Plenum Press, New York 1988 Particle Physics.Renormalization gr

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,On the Fixed Point Formula and the Rigidity Theorems of Witten Lectures at Cargése 1987, Witten and on the other in the more topological considerations of Landweber, Stong, Ochanine, and others [12]. These two diverse points of view have spawned a subject called “Elliptic cohomology” and so, in a sense, these are introductory lectures to that subject also. However my point of view will

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Non-Commutative Geometry,space do not commute.In other words,spaces which are described by algebras of coordinates which arenot commutative.If you conside rsuch spaces,then it is necessary to rethink most of the notions of classical geometry and redefine them. Motivated from pure mathematics it turns out that there are very

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