The Weyl bundle as a differentiable manifold

Details The Weyl bundle as a differentiable manifold The Weyl bundle as a differentiable manifold

2005-02-03

arxiv.org/abs/math-ph/0502013v2

J. Phys. A: Math. Gen. 38 (2005) 5193-5216

Physics

Mathematical Physics

31 pages; revised version - some typoes have been eliminated, notation has been simplified

Scientific paper

10.1088/0305-4470/38/23/008

Construction of an infinite dimensional differentiable manifold ${\mathbb R}^{\infty}$ not modelled on any Banach space is proposed. Definition, metric and differential structures of a Weyl algebra and a Weyl algebra bundle are presented. Continuity of the $\circ$-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.

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