Differential geometrical methods in mathematical physics II : proceedings, University of Bonn, July 13-16, 1977

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Differential geometrical methods in mathematical physics II : proceedings, University of Bonn, July 13-16, 1977

edited by K. Bleuler, H.R. Petry, and A. Reetz

(Lecture notes in mathematics, 676)

Springer-Verlag, 1978

  • : Berlin
  • : New York

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Includes bibliographical references

Includes index

Description and Table of Contents

Table of Contents

On the role of field theories in our physical conception of geometry.- Characteristic classes and solutions of gauge theories.- Classification of classical yang-mills fields.- Bundle representations and their applications.- to gauge theory.- The use of exterior forms in field theory.- Electromagnetic fields on manifolds: Betti numbers, monopoles and strings, minimal coupling.- Gravity is the gauge theory of the parallel - transport modification of the poincare group.- On the lifting of structure groups.- On the non-uniqueness of spin structure in superconductivity.- Conformal invariance in field theory.- Geometric quantization and the WKB approximation.- Some properties of half-forms.- On some approach to geometric quantization.- Representations associated to minimal co-adjoint orrits.- On the Schroedinger equation given by geometric quantisation.- Application of geometric quantization in quantum mechanics.- Thermodynamique et Geometrie.- Some preliminary remarks on the formal variational calculus of gel'fand and dikii.- Reducibility of the symplectic structure of minimal interactions.- Ambiguities in canonical transformations of classical systems and the spectra of quantum observables.- Quantum field theory in curved space-times a general mathematical framework.- On functional integrals in curved spacetime.- Observables for quantum fields on curved background.- Quantization of fields on a curved background.- Supergravity.- Representations of classical lie superalgebras.

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