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Carissa Slone

Publications and source records attributed to Carissa Slone.

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The slices of quaternionic Eilenberg-Mac Lane spectra

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 $\underline{\pi}_{k\rho} H\underline{\mathbb{Z}}$.

math.AT

Klein Four 2-slices and the Slices of $Σ^{\pm n}H\underline{\mathbb{Z}}$

We determine a characterization of all 2-slices of equivariant spectra over the Klein four-group $C_2\times C_2$. We then describe all slices of integral suspensions of the equivariant Eilenberg-MacLane spectrum $H\underline{\mathbb{Z}}$ for the constant Mackey functor over $C_2\times C_2$.

math.AT