2024/09/24 by William Balderrama, Justin Barhite, Balderrama, William +4
Chemistry · Materials Science · #Algebraic Topology (math.AT) #Analytical Chemistry and Chromatography #FOS: Mathematics #Lanthanide and Transition Metal Complexes #Molecular spectroscopy and chirality
paper · pdf · doi:10.48550/arxiv.2409.16384
openalex publication_date 2024/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In a previous paper, one of us interpreted mod 2 Dyer-Lashof operations as explicit A-module extensions between Brown-Gitler modules, and showed these A-modules can be topologically realized by finite spectra occurring as fibers of maps between 2-local dual Brown-Gitler spectra. Starting from these constructions, in this paper, we show that infinite families of these finite spectra are of chromatic type 2, with mod 2 cohomology that is free over A(1). Applications include classifying the dual Brown-Gitler spectra after localization with respect to K-theory.