Open Access
2006 Random Spheres and Operads
Rémi Léandre
J. Geom. Symmetry Phys. 6: 67-84 (2006). DOI: 10.7546/jgsp-6-2006-67-84


We define a stochastic diffeology over the n-fold loop-space of a n-connected manifold. We perform a stochastic cohomology in the sense of Chen and Souriau and we show that the stochastic cohomology groups are equal to the classical de Rham cohomology groups of the n-fold loop space. We give a stochastic analogue of the classical fact that the homology groups of the n-fold loop space are an algebra for the little cube operad.


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Rémi Léandre. "Random Spheres and Operads." J. Geom. Symmetry Phys. 6 67 - 84, 2006.


Published: 2006
First available in Project Euclid: 20 May 2017

zbMATH: 1127.58031
MathSciNet: MR2267776
Digital Object Identifier: 10.7546/jgsp-6-2006-67-84

Rights: Copyright © 2006 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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