Motivic homological stability for configuration spaces of the line

G Horel - Bulletin of the London Mathematical Society, 2016 - academic.oup.com
Bulletin of the London Mathematical Society, 2016academic.oup.com
We lift the classical theorem of Arnol'd on homological stability for configuration spaces of
the plane to the motivic world. More precisely, we prove that the schemes of unordered
configurations of points in the affine line satisfy stability with respect to the motivic-structure
on mixed Tate motives.
Abstract
We lift the classical theorem of Arnol'd on homological stability for configuration spaces of the plane to the motivic world. More precisely, we prove that the schemes of unordered configurations of points in the affine line satisfy stability with respect to the motivic -structure on mixed Tate motives.
Oxford University Press
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