46 citations · 350 across the 36 of their papers we have counts for
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math.AT2015★ 36 cited
Local duality in algebra and topology
Tobias Barthel, Drew Heard, Gabriel Valenzuela
The first goal of this paper is to provide an abstract framework in which to formulate and study local duality in various algebraic and topological contexts. For any stable $\infty…
math.AT2015★ 5 cited
Brown-Peterson cohomology from Morava E-theory
Tobias Barthel, Nathaniel Stapleton
We prove that the -completed Brown-Peterson spectrum is a retract of a product of Morava -theory spectra. As a consequence, we generalize results of Ravenel-Wilson-Yagita and…
math.AT2015★ 19 cited
The character of the total power operation
Tobias Barthel, Nathaniel Stapleton
In this paper we compute the total power operation for the Morava -theory of any finite group up to torsion. Our formula is stated in terms of the -action on the Drin…