Christian Carrick

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20242026

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math.AT2024

On MU-homology of connective models of higher Real K-theories

Christian Carrick, Michael A. Hill

We use the slice filtration to study the $M U$ -homology of the fixed points of connective models of Lubin--Tate theory studied by Hill--Hopkins--Ravenel and Beaudry--Hill--Shi--Zeng…

math.AT2024

Chromatic defect, Wood's theorem, and higher real $K$ -theories

Christian Carrick

Using Ravenel's Thom spectrum $X (n)$ , we introduce the concept of chromatic defect, which measures how far a spectrum is from being complex-orientable. We compute the chromatic def…

On MU-homology of connective models of higher Real K-theories

Chromatic defect, Wood's theorem, and higher real K-theories

Chromatic defect, Wood's theorem, and higher real $K$ -theories