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arXiv · 2004.07306

A new approach to mod 2 decompositions of BSU(2) and BSO(3)

Eva Belmont·Natàlia Castellana·Jelena Grbić·Kathryn Lesh·Michelle Strumila
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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.

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Eva Belmont, Natàlia Castellana, Jelena Grbić, Kathryn Lesh, Michelle Strumila. 2020-04-15. A new approach to mod 2 decompositions of BSU(2) and BSO(3). https://arxiv.org/abs/2004.07306

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