Journal
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
Volume 18, Issue 1, Pages 1-81Publisher
EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/JEMS/583
Keywords
Homological stability; mapping class groups; moduli spaces
Categories
Funding
- EPSRC
- ERC [228082]
- Danish National Research Foundation via the Centre for Symmetry and Deformation
- Herchel Smith Fund
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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.
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