A new approach to mod 2 decompositions of BSU(2) and BSO(3)
Algebraic Topology
2020-04-17 v1
Abstract
Dwyer, Miller and Wilkerson proved that at the prime 2, the classifying spaces of SU(2) and SO(3) can be obtained as a homotopy pushout of the classifying spaces of certain subgroups. In this paper we show explicitly how these decompositions arise from the fusion systems of SU(2) and SO(3) over maximal discrete 2-toral subgroups.
Cite
@article{arxiv.2004.07306,
title = {A new approach to mod 2 decompositions of BSU(2) and BSO(3)},
author = {Eva Belmont and Natàlia Castellana and Jelena Grbić and Kathryn Lesh and Michelle Strumila},
journal= {arXiv preprint arXiv:2004.07306},
year = {2020}
}
Comments
19 pages. Women in Topology 2019