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Type 2 complexes constructed from Brown-Gitler spectra https://arxiv.org/abs/2409.16384 #mathAT

Type 2 complexes constructed from Brown-Gitler spectra

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.

arxiv.org
September 27, 2024 at 3:10 AM · · feed2toot · 0 · 0 · 0
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