A new approach to mod 2 decompositions of BSU(2) and BSO(3)
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2020
- DOI:
- 10.48550/arXiv.2004.07306
- arXiv:
- arXiv:2004.07306
- Bibcode:
- 2020arXiv200407306B
- Keywords:
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- Mathematics - Algebraic Topology;
- 55R35 (Primary) 20D20 55R40 (Secondary)
- E-Print:
- 19 pages. Women in Topology 2019