Geometric Analysis and Applications to Quantum Field Theory: 205 (Progress in Mathematics) - Softcover

Softcover

ISBN 10: 1461265975 ISBN 13: 9781461265979

Verlag: Birkhäuser, 2012

Inhaltsangabe

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.

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Reseña del editor

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.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2012
• ISBN 10: 1461265975
• ISBN 13: 9781461265979
• Einband: Tapa blanda
• Sprache: Englisch
• Anzahl der Seiten: 220
• Herausgeber: Bouwknegt Peter, Wu Siye
• Kontakt zum Hersteller: Nicht verfügbar