$E_2$-cells and mapping class groups
Algebraic Topology
2021-02-22 v2
Abstract
We prove a new kind of stabilisation result, "secondary homological stability", for the homology of mapping class groups of orientable surfaces with one boundary component. These results are obtained by constructing CW approximations to the classifying spaces of these groups, in the category of -algebras, which have no -cells below a certain vanishing line.
Cite
@article{arxiv.1805.07187,
title = {$E_2$-cells and mapping class groups},
author = {Soren Galatius and Alexander Kupers and Oscar Randal-Williams},
journal= {arXiv preprint arXiv:1805.07187},
year = {2021}
}
Comments
v2: Final version, to appear in Publ. Math. Inst. Hautes \'Etudes Sci