Jack Carlisle

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math.AT2025

Periodic phenomena in equivariant stable homotopy theory

Mark Behrens, Jack Carlisle

Building off of many recent advances in the subject by many different researchers, we describe a picture of A-equivariant chromatic homotopy theory which mirrors the now classical…

math.AT2025

The $E_{2}^{h C_{6}}$ -homology of $R P^{2}$ and $R P^{2} \land C P^{2}$

Irina Bobkova, Jack Carlisle, Emmett Fitz +6

Let $E_{2}$ be the Morava E-theory of height 2 at the prime 2. In this paper, we compute the homotopy groups of $E_{2}^{h C_{6}} \land R P^{2}$ and $\…

math.AT2025

Real Global Group Laws and Hu-Kriz Maps

Jack Carlisle, Noah Wisdom, Guoqi Yan

Recently, Hausmann defined global group laws and used them to prove that $M U_{*}^{G}$ is the $G$ -equivariant Lazard ring, for $G$ a compact abelian Lie group. On the other hand, Hu and…

Periodic phenomena in equivariant stable homotopy theory

The E2hC6​​-homology of RP2 and RP2∧CP2

Real Global Group Laws and Hu-Kriz Maps

The $E_{2}^{h C_{6}}$ -homology of $R P^{2}$ and $R P^{2} \land C P^{2}$