Geometric Analysis and Applications to Quantum Field Theory (Progress in Mathematics, Volume 205)

Bouwknegt, Peter and Siye Wu (Editors)

ISBN 10: 0817642870 / ISBN 13: 9780817642877

Published by Birkhäuser, Boston, 2002

About this Item

An examination of the interface of geometric analysis and mathematical physics. First printing. Spine head gently bumped.

Seller Inventory # C170169

Bibliographic Details

• Title: Geometric Analysis and Applications to Quantum Field Theory (Progress in Mathematics, Volume 205)
• Publisher: Birkhäuser, Boston
• Publication Date: 2002
• Language: English
• ISBN 10: 0817642870
• ISBN 13: 9780817642877
• Binding: Hard Cover
• Edition: First Edition.
• Condition: Near Fine
• Dust Jacket Condition: No Jacket
• Seller catalogs:
  • Education/Textbooks

About this title

Synopsis

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.