Geometric Analysis and Applications to Quantum Field Theory

In recent years, there has been tremendous progress at the interface of geometry and mathematical physics. The chapters in this volume represent current research interests and provide surveys of recent progress without assuming too much prerequisite knowledge. Sufficient background motivates each chapter and comprehensive bibliographies are included making the material accessible to graduate students and researchers. No suitable succint account of the material is available elsewhere.

Inhalt
Semiclassical Approximation in ChernSimons Gauge Theory.- The KnizhnikZamolodchikov Equations.- Loop Groups and Quantum Fields.- Some Applications of Variational Calculus in Hermitian Geometry.- Monopoles.- GrornovWitten Invariants and Quantum Cohomology.- The Geometry and Physics of the SeibergWitten Equations.