The $C_2$-equivariant ordinary cohomology of $BT^2$

Autor:	Costenoble, Steven R., Hudson, Thomas
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Topology 55N91 (Primary) 14M15 14N15 55R12 55R40 55R91 57R20 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We calculate the ordinary $C_2$-cohomology of $BT^2$ 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 $BT^1$ and $BU(2)$, calculated previously, both relationships being more complicated than in the nonequivariant case. Comment: 45 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.06470 Zobrazit plný text záznamu View this record from Arxiv