2024/01/12 by Noah Wisdom, Wisdom, Noah
Mathematics · Medicine · #55N22 (Primary) 19L47 #55N91 (Secondary) #55P92 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders
paper · pdf · doi:10.48550/arxiv.2401.12227
openalex publication_date 2024/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is classically known that Landweber exact homology theories (complex oriented theories which are completely determined by complex cobordism) admit no nontrivial phantom maps. Herein we propose a definition of A-Landweber exact spectra, for A a compact abelian Lie group, and show that an analogous result on phantom maps holds. Also, we show that a conjecture of May on KUG is false. We do not prove an equivariant Landweber exact functor theorem, and therefore our result on phantom maps only applies to MUA, KUA, their p-localizations, and BPA, which are shown to be A-Landweber exact by ad-hoc methods.