Michael Hill

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20082021

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math.AT2019

Invertible $K (2)$ -Local $E$ -Modules in $C_{4}$ -Spectra

Agnes Beaudry, Irina Bobkova, Michael Hill +1

We compute the Picard group of the category of $K (2)$ -local module spectra over the ring spectrum $E^{h C_{4}}$ , where $E$ is a height 2 Morava $E$ -theory and $C_{4}$ is a subgroup of t…

math.AT2008

The spectra ko and ku are not Thom spectra: an approach using THH

Vigleik Angeltveit, Michael Hill, Tyler Lawson

We apply an announced result of Blumberg-Cohen-Schlichtkrull to reprove (under restricted hypotheses) a theorem of Mahowald: the connective real and complex K-theory spectra are no…

Invertible K(2)-Local E-Modules in C4​-Spectra

The spectra ko and ku are not Thom spectra: an approach using THH

Invertible $K (2)$ -Local $E$ -Modules in $C_{4}$ -Spectra