Introduces diffeological spherical and projective Milnor classifying spaces with compatible Riemannian metrics, differential calculus, Hodge theory, and Dirac operators in infinite-dimensional geometry.
Souriau, Un algorithme g´ en´ erateur de structures quantiques;Ast´ erisque, Hors S´ erie (1985), 341-399
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On spherical Milnor Classifying Spaces I: differential geometry
Introduces diffeological spherical and projective Milnor classifying spaces with compatible Riemannian metrics, differential calculus, Hodge theory, and Dirac operators in infinite-dimensional geometry.