The C₂-equivariant ordinary cohomology of BT²

2024/11/10 by Costenoble, Steven R., Hudson, Thomas · 1 citation
#14N15 #55N91 (Primary) 14M15 #55R12 #55R40 #55R91 #57R20 (Secondary) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.06470

Abstract

We calculate the ordinary C₂-cohomology of BT² with Burnside ring coefficients, using an extended grading that allows us to capture a more natural set of generators. We discuss how this cohomology is related to those of BT¹ and BU(2), calculated previously, both relationships being more complicated than in the nonequivariant case.

Cited by

• The C₂-equivariant ordinary cohomology of complex quadrics I: The antisymmetric case

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