Differential Geometrical Methods in Mathematical Physics II

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