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arXiv:2004.07306 [math.AT]AbstractReferencesReviewsResources

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

Eva Belmont, Natàlia Castellana, Jelena Grbić, Kathryn Lesh, Michelle Strumila

Published 2020-04-15Version 1

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.

Comments: 19 pages. Women in Topology 2019
Categories: math.AT
Subjects: 55R35, 20D20, 55R40
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