Shlomo Sternberg (auth.), Konrad Bleuler, Axel Reetz, Herbert Rainer Petry (eds.)9780387089355, 0-387-08935-7
Table of contents :
On the role of field theories in our physical conception of geometry….Pages 1-80
Characteristic classes and solutions of gauge theories….Pages 81-104
Classification of classical yang-mills fields….Pages 105-149
Bundle representations and their applications….Pages 151-160
Introduction to gauge theory….Pages 161-169
The use of exterior forms in field theory….Pages 171-178
Electromagnetic fields on manifolds: Betti numbers, monopoles and strings, minimal coupling….Pages 179-187
Gravity is the gauge theory of the parallel — transport modification of the poincare group….Pages 189-215
On the lifting of structure groups….Pages 217-246
On the non-uniqueness of spin structure in superconductivity….Pages 247-254
Conformal invariance in field theory….Pages 255-293
Geometric quantization and the WKB approximation….Pages 295-309
Some properties of half-forms….Pages 311-314
On some approach to geometric quantization….Pages 315-328
Representations associated to minimal co-adjoint orrits….Pages 329-349
On the Schrödinger equation given by geometric quantisation….Pages 351-356
Application of geometric quantization in quantum mechanics….Pages 357-367
Thermodynamique et Geometrie….Pages 369-397
Some preliminary remarks on the formal variational calculus of gel’fand and dikii….Pages 399-407
Reducibility of the symplectic structure of minimal interactions….Pages 409-433
Ambiguities in canonical transformations of classical systems and the spectra of quantum observables….Pages 435-457
Quantum field theory in curved space-times a general mathematical framework….Pages 459-512
On functional integrals in curved spacetime….Pages 513-534
Observables for quantum fields on curved background….Pages 535-566
Quantization of fields on a curved background….Pages 567-572
Supergravity….Pages 573-596
Representations of classical lie superalgebras….Pages 597-626
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