A book intended for graduate students and research workers in theoretical physics, high energy physics, particularly quantum field theorists in mathematics doing differential geometry or topology and for thoretical physicists in statistical mechanics or solid state theory. Developments in differential topology and how these recent advances have been applied as a primary research tool in quantum field theory are presented here in a style reflecting the genuinely two-sided interaction between mathematical physics and applied mathematics. The author covers elliptic differential and pseudo-differential operators, Atiyah-Singer index theory, topological quantum field theory, string theory, and knot theory. The explanatory approach serves to illuminate and clarify these theories for graduate students and research workers entering the field for the first time.
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Illustrationen
Maße
Höhe: 229 mm
Breite: 152 mm
Gewicht
ISBN-13
978-0-12-514075-1 (9780125140751)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Klassifikation
A topological preliminary; elliptic operators; cohomology of sheaves and bundles; index theory for elliptic operators; some algebraic geometry; infinite dimensional groups; morse theory; instantons and monopoles; the elliptic geometry of strings; anomalies; conformal quantum field theories; topological quantum field theories.
