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Peter Bouwknegt, Siye Wu (Eds.) Geometric Analysis and Applications to Quantum Theory Series: Progress in

In the last decade there has been an extraordinary confluence of ideas in mathematics and theoretical physics brought about by pioneering discoveries in geometry and analysis. The various chapters in this volume, treating the interface of geometric analysis and , represent current research interests. No suitable succinct account of the material is available elsewhere. Key topics include: * A self-contained derivation of the partition function of Chern- Simons in the semiclassical approximation (D.H. Adams) * Algebraic and geometric aspects of the Knizhnik-Zamolodchikov equations in (P. Bouwknegt) * Application of the representation theory of loop groups to simple models in 2002, IX, 207 p. and to certain integrable systems (A.L. Carey and E. Langmann) * A study of variational methods in Hermitian geometry from the viewpoint of the critical points of action Printed book functionals together with physical backgrounds (A. Harris) * A review of monopoles in Hardcover nonabelian gauge theories (M.K. Murray) * Exciting developments in quantum cohomology (Y. 74,99 € | £64.99 | $89.99 Ruan) * The physics origin of Seiberg-Witten equations in 4- theory (S. Wu) Graduate [1]80,24 € (D) | 82,49 € (A) | CHF students, mathematicians and mathematical physicists in the above-mentioned areas will 88,50 benefit from the user-friendly introductory style of each chapter as well as the comprehensive bibliographies provided for each topic. Prerequisite knowledge is minimal since sufficient Softcover background material motivates each chapter. 64,99 € | £54.99 | $79.99 [1]69,54 € (D) | 71,49 € (A) | CHF 77,00 eBook 53,49 € | £43.99 | $59.99 [2]53,49 € (D) | 53,49 € (A) | CHF 61,50 Available from your library or springer.com/shop MyCopy [3] Printed eBook for just € | $ 24.99 springer.com/mycopy

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