The Weyl bundle as a differentiable manifold
نویسنده
چکیده
Construction of an infinite dimensional differentiable manifold R∞ not modelled on any Banach space is proposed. Definition, metric and differential structures of a Weyl algebra (P ∗ p M [[~]], ◦) and a Weyl algebra bundle (P∗M[[~]], ◦) are presented. Continuity of the ◦-product in the Tichonov topology is proved. Construction of the ∗-product of the Fedosov type in terms of theory of connection in a fibre bundle is explained. PACS numbers: 02.40.Hw, 03.65.Ca
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