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math.AT2017
Excellent rings in transchromatic homotopy theory
Tobias Barthel, Nathaniel Stapleton
The purpose of this note is to verify that several basic rings appearing in transchromatic homotopy theory are Noetherian excellent normal domains and thus amenable to standard tec…
math.AT2016
A canonical lift of Frobenius in Morava E-theory
Nathaniel Stapleton
We prove that the th Hecke operator on the Morava -cohomology of a space is congruent to the Frobenius mod . This is a generalization of the fact that the th Adams oper…
math.AT2013
Transchromatic twisted character maps
Nathaniel Stapleton
Refinements of the transchromatic generalized character maps are constructed by taking into account the torus action on the inertia groupoid (also known as the Fix functor). The re…