3 papers
math.AT2025
Type 2 complexes constructed from Brown-Gitler spectra
William Balderrama, Justin Barhite, Nicholas J. Kuhn +1
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 topologicall…
math.AT2024
Dyer-Lashof operations as extensions of Brown-Gitler Modules
Nicholas J. Kuhn
At the prime 2, let T(n) be the n dual of the nth Brown-Gitler spectrum with mod 2 homology G(n). Our previous work on computing the homology of an infinite loopspaces led us to ob…
math.AT2024
Applications of the circle product with a right -module to the theory of commutative ring spectra
Nicholas J. Kuhn
If Com is the reduced commutative operad, the category of Com-algebras in spectra is the category of nounital commutative ring spectra. The theme of this survey is that many import…