HUDU

Differential Topology and Quantum Field Theory

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Dezember 1992

Beschreibung

Beschreibung

The remarkable 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, following his previous work (Nash/Sen: Differential Topology for Physicists, Academic Press, 1983), 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.

Inhaltsverzeichnis

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. References.
EAN: 9780125140768
ISBN: 0125140762
Untertitel: Sprache: Englisch.
Verlag: ACADEMIC PR INC
Erscheinungsdatum: Dezember 1992
Seitenanzahl: 386 Seiten
Format: kartoniert
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