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Titlebook: Geometric Analysis and Applications to Quantum Field Theory; Peter Bouwknegt,Siye Wu Textbook 2002 Springer Science+Business Media New Yor

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Some Applications of Variational Calculus in Hermitian Geometry,ance. The following partial survey will set out to expose their role specifically in the theory of Hermitian-Einstein vector bundles, and in those aspects of conformal field theory which involve deformations of complex structure.
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https://doi.org/10.1057/978-1-137-48769-8the 2nd quantization’ of the Calogero—Sutherland model using anyons and the geometric construction of quantum fields on Riemann surfaces. We describe some new results on the elliptic CalogeroSutherland model.
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https://doi.org/10.1007/978-94-015-7636-9ality and the role monopoles play in electric-magnetic duality. Lecture 3 reviews Donaldson invariants and topological field theory, followed by the low energy solution to the.2 supersymmetric gauge theory by Seiberg and Witten, and its application to four-manifolds.
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