Classifying spaces for commutativity of low-dimensional Lie groups

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Dokumenter

  • Omar Antolín-Camarena
  • Simon Philipp Gritschacher
  • Bernardo Villarreal

For each of the groups G = O(2), SU(2), U(2), we compute the integral and-cohomology rings of BcomG (the classifying space for commutativity of G), the action of the Steenrod algebra on the mod 2 cohomology, the homotopy type of EcomG (the homotopy fiber of the inclusion BcomG → BG), and some low-dimensional homotopy groups of BcomG.

OriginalsprogEngelsk
TidsskriftMathematical Proceedings of the Cambridge Philosophical Society
Vol/bind169
Udgave nummer3
Sider (fra-til)433-478
ISSN0305-0041
DOI
StatusUdgivet - 2020

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