Geodesic
Resolutions of moduli spaces and homological stability
Journal of the European Mathematical Society, Tome 18 (2016) no. 1, pp. 1-81.

Voir la notice de l'article provenant de la source EMS Press

We describe partial semi-simplicial resolutions of moduli spaces of surfaces with tangential structure. This allows us to prove a homological stability theorem for these moduli spaces, which often improves the known stability ranges and gives explicit stability ranges in many new cases. In each of these cases the stable homology can be identified using the methods of Galatius, Madsen, Tillmann and Weiss.
DOI : 10.4171/jems/583
Classification : 55-XX, 20-XX, 57-XX
Keywords: Homological stability, mapping class groups, moduli spaces 
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Oscar Randal-Williams. Resolutions of moduli spaces and homological stability. Journal of the European Mathematical Society, Tome 18 (2016) no. 1, pp. 1-81. doi : 10.4171/jems/583. http://geodesic.mathdoc.fr/articles/10.4171/jems/583/

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