Can I read Type 2 complexes constructed from Brown-Gitler spectra on EtoBox?

Type 2 complexes constructed from Brown-Gitler spectra by Balderrama, William; Barhite, Justin; Kuhn, Nicholas J.; Larson, Donald M. is a scholarly article available to read on EtoBox.

What is Type 2 complexes constructed from Brown-Gitler spectra about?

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.

Author

Balderrama, William; Barhite, Justin; Kuhn, Nicholas J.; Larson, Donald M.

Published

2024

Language

EN