Classifying spaces for commutativity of low-dimensional Lie groups release_ve3ax2ejbvhghhnv5uac3ani5u

by Omar Antolín-Camarena, Simon Gritschacher, Bernardo Villarreal

Released as a article .

(2019)

Abstract

For each of the groups G = O(2), SU(2), U(2), we compute the integral and F_2-cohomology rings of B_com G (the classifying space for commutativity of G), the action of the Steenrod algebra on the mod 2 cohomology, the homotopy type of E_com G (the homotopy fiber of the inclusion B_com G → BG), and some low-dimensional homotopy groups of B_com G.
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Type  article
Stage   accepted
Date   2019-07-16
Version   v2
Language   en ?
arXiv  1802.03632v2
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