Mathematical Background of Formalism of Operator Manifold

Details Mathematical Background of Formalism of Operator Manifold Mathematical Background of Formalism of Operator Manifold

1997-10-10

arxiv.org/abs/dg-ga/9710010v2

Mathematics

Differential Geometry

LaTex, 25 pages, no figures, revised version (minor grammatical changes)

Scientific paper

The analysis of mathematical structure of the method of operator manifold guides our discussion. The latter is a still wider generalization of the method of secondary quantization with appropriate expansion over the geometric objects. The nature of operator manifold provides its elements with both quantum field and geometry aspects, a detailed study of which is a subject of present paper. It yields a quantization of geometry differing in principle from all earlier suggested schemes.

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