The slices of quaternionic Eilenberg-Mac Lane spectra

math.AT

/ Authors

/ Abstract

We compute the slices and slice spectral sequence of integral suspensions of the equivariant Eilenberg-Mac Lane spectra $H\underline{\mathbb{Z}}$ for the group of equivariance $Q_8$. Along the way, we compute the Mackey functors $\underlineπ_{kρ} H\underline{\mathbb{Z}}$.

The slices of quaternionic Eilenberg-Mac Lane spectra

math.AT

/ Authors

Bertrand J. Guillou, Carissa Slone

/ Abstract

We compute the slices and slice spectral sequence of integral suspensions of the equivariant Eilenberg-Mac Lane spectra $H\underline{\mathbb{Z}}$ for the group of equivariance $Q_8$. Along the way, we compute the Mackey functors $\underlineπ_{kρ} H\underline{\mathbb{Z}}$.