The $C_2$-equivariant ordinary cohomology of $BU(2)$

Autor:	Costenoble, Steven R., Hudson, Thomas
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Topology Mathematics - Algebraic Geometry 55N91 (Primary) 14M15 14N15 55R40 55R91 57R20 57R85 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We calculate the ordinary $C_2$-cohomology, with Burnside ring coefficients, of $BU(2)$, the classifying space for $C_2$-equivariant complex 2-plane bundles, using an extended grading that allows us to capture a more natural set of generators. This allows us to define characteristic classes for such bundles. Combined with earlier calculations, it also allows us to define characteristic numbers for equivariant complex lines and surfaces and we give some sample computations. Comment: 34 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.06411 Zobrazit plný text záznamu View this record from Arxiv