Title | Differential Geometrical Methods in Mathematical Physics [electronic resource] : Proceedings of the Conferences Held at Aix-en-Provence, September 3 - 7, 1979 and Salamanca, September 10 - 14, 1979 / edited by P. L. Garcรญa, A. Pรฉrez-Rendรณn, J. M. Souriau |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1980 |

Connect to | http://dx.doi.org/10.1007/BFb0089722 |

Descript | XIV, 542 p. online resource |

CONTENT

Configuration spaces of identical particles -- The geometrical meaning and globalization of the Hamilton-Jacobi method -- The Euler-Lagrange resolution -- On the prequantum description of spinning particles in an external gauge field -- Classical action, the wu-yang phase factor and prequantization -- Groupes differentiels -- Representations that remain irreducible on parabolic subgroups -- Non-positive polarizations and half-forms -- Connections on symplectic manifolds and geometric quantization -- Geometric aspects of the feynman integral -- Relativistic quantum theory in complex spacetime -- Existence et equivalence de deformations associatives associees a une variete symplectique -- A new symplectic structure of field theory -- Conformal structures and connections -- Equilibrium configurations of fluids in general relativity -- Quaternionic and supersymmetric ? โ{128}{148} models -- Supergravity as the gauge theory of supersymmetry -- Hypergravities -- Preface -- Preface -- Morse theory and the yang-mills equations -- Reduction of the yang mills equations -- Tangent structure of Yang-Mills equations and hodge theory -- Classification of gauge fields and group representations -- Gauge asthenodynamics (SU(2/1)) (classical discussion) -- Spinors on fibre bundles and their use in invariant models -- Glueing broken symmetries together -- Deformations and quantization -- Stability theory and quantization -- Presymplectic manifolds and the quantization of relativistic particle systems -- Geometric quantisation for singular lagrangians -- Electron scattering on magnetic monopoles -- The metaplectic representation, weyl operators and spectral theory -- Supergravity: A unique self-interacting theory -- General relativity as a gauge theory -- On a purely affine formulation of general relativity -- A fibre bundle description of coupled gravitational and gauge fields -- Homogenous symplectic formulation of field dynamics and the poincarรฉ-cartan form -- Spectral sequences and the inverse problem of the calculus of variations -- Geodesic fields in the calculus of variations of multiple integrals depending on derivatives of higher order -- Separability structures on riemannian manifolds

Mathematics
Differential geometry
Physics
Mathematics
Differential Geometry
Theoretical Mathematical and Computational Physics