Resolutions of moduli spaces and homological stability

Randal-Williams, Oscar. "Resolutions of moduli spaces and homological stability." Journal of the European Mathematical Society 018.1 (2016): 1-81. <http://eudml.org/doc/277206>.

@article{Randal2016,
abstract = {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.},
author = {Randal-Williams, Oscar},
journal = {Journal of the European Mathematical Society},
keywords = {homological stability; mapping class groups; moduli spaces; homological stability; mapping class groups; moduli spaces},
language = {eng},
number = {1},
pages = {1-81},
publisher = {European Mathematical Society Publishing House},
title = {Resolutions of moduli spaces and homological stability},
url = {http://eudml.org/doc/277206},
volume = {018},
year = {2016},
}

TY - JOUR
AU - Randal-Williams, Oscar
TI - Resolutions of moduli spaces and homological stability
JO - Journal of the European Mathematical Society
PY - 2016
PB - European Mathematical Society Publishing House
VL - 018
IS - 1
SP - 1
EP - 81
AB - 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.
LA - eng
KW - homological stability; mapping class groups; moduli spaces; homological stability; mapping class groups; moduli spaces
UR - http://eudml.org/doc/277206
ER -