Differential Geometric Methods in Mathematical Physics -

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Résumé :
Massless limits and dual field theories.- Poisson commutativity and the generalized periodic toda lattice.- Spaces of solutions of relativistic field theories with constraints.- The symplectic ?category?.- Moments and reductions.- Elementary systems for lie algebra bundle actions.- What kind of a dynamical system is the radiating electron?.- Asymptotics of elementary spherical functions.- Hermitian structures on solution varieties of nonlinear relativistic wave equations.- Vector bundle connections and liftings of partial differential operators.- Phase space of the coupled vectorial Klein-Gordon-Maxwell equations.- Particle theory and global geometry.- Group theoretical aspects of the chronometric theory.- Spinor structures.- The complex cayley algebra and the Lorentz group.- Prequantisation from path integral viewpoint.- A geometrical property of POV-measures and systems of covariance.- Path integrals over manifolds.- Gauge-theory ghosts and ghost-gauge theories.- On monopole systems with weak axial symmetry.- Quantum fields in curved space-times and scattering theory.- The quantized maxwell field and its gauges; A generalization of wightman theory.

Sommaire:
Massless limits and dual field theories.- Poisson commutativity and the generalized periodic toda lattice.- Spaces of solutions of relativistic field theories with constraints.- The symplectic category.- Moments and reductions.- Elementary systems for lie algebra bundle actions.- What kind of a dynamical system is the radiating electron?.- Asymptotics of elementary spherical functions.- Hermitian structures on solution varieties of nonlinear relativistic wave equations.- Vector bundle connections and liftings of partial differential operators.- Phase space of the coupled vectorial Klein-Gordon-Maxwell equations.- Particle theory and global geometry.- Group theoretical aspects of the chronometric theory.- Spinor structures.- The complex cayley algebra and the Lorentz group.- Prequantisation from path integral viewpoint.- A geometrical property of POV-measures and systems of covariance.- Path integrals over manifolds.- Gauge-theory ghosts and ghost-gauge theories.- On monopole systems with weak axial symmetry.- Quantum fields in curved space-times and scattering theory.- The quantized maxwell field and its gauges; A generalization of wightman theory.