32 citations · 115 across the 22 of their papers we have counts for
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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…
math.AT2015★ 15 cited
On the ring of cooperations for 2-primary connective topological modular forms
Mark Behrens, Kyle Ormsby, Nathaniel Stapleton +1
We analyze the ring tmf_*tmf of cooperations for the connective spectrum of topological modular forms (at the prime 2) through a variety of perspectives: (1) the E_2-term of the Ad…