EAN: 9781461265979

GEOMETRIC ANALYSIS AND APPLICATIONS TO QUANTUM ...

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 mathematical
physics  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 gauge theory in the semiclassical approximation (D.H. Adams) *
Algebraic and geometric aspects of the Knizhnik-Zamolodchikov equations in conformal field
theory (P. Bouwknegt) * Application of the representation theory of loop groups to simple
models in quantum field theory 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 functionals together with physical backgrounds (A. Harris) * A review of monopoles in
nonabelian gauge theories (M.K. Murray) * Exciting developments in quantum cohomology (Y. Ruan)
* The physics origin of Seiberg-Witten equations in 4-manifold theory (S. Wu) Graduate students
mathematicians and mathematical physicists in the above-mentioned areas will 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 background material
motivates each chapter.

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