The Weyl bundle as a differentiable manifold
Tosiek, Jaromir
arXiv, 0502013 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-02-03
Classification:  Mathematical Physics,  53C07,  53D55 
@article{0502013,
     author = {Tosiek, Jaromir},
     title = {The Weyl bundle as a differentiable manifold},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0502013}
}

Tosiek, Jaromir. The Weyl bundle as a differentiable manifold. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0502013/