Regular neighbourhoods and canonical decompositions for groups.
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Scott, Peter, Swarup, Gadde A. (2002)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Kapovich, Michael (2005)
Geometry & Topology
Oscar Randal-Williams (2016)
Journal of the European Mathematical Society
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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