Stochastic cohomology of the frame bundle of the loop space
Léandre, Rémi
arXiv, 9801202 / Harvested from arXiv
Text on arXiv
We study the differential forms over the frame bundle of the based loop space. They are stochastics in the sense that we put over this frame bundle a probability measure. In order to understand the curvatures phenomena which appear when we look at the Lie bracket of two horizontal vector fields, we impose some regularity assumptions over the kernels of the differential forms. This allows us to define an exterior stochastic differential derivative over these forms.
Publié le : 1997-12-31
Classification:  Mathematical Physics 
@article{9801202,
     author = {L\'eandre, R\'emi},
     title = {Stochastic cohomology of the frame bundle of the loop space},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9801202}
}

Léandre, Rémi. Stochastic cohomology of the frame bundle of the loop space. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9801202/