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Stabilité de la cohomologie des espaces de configuration comme représentation du groupe symétrique

(2020)

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Abstract
The core of this work is the proof of a result due to Thomas Church. The result deals with the cohomology of configuration spaces of a manifold, that actually constitutes a sequence of representations of the symmetric group, and Church has shown that this sequence is stable, in the sense that he defined with B. Farb in a paper published in 2013.