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The slices of quaternionic Eilenberg-Mac Lane spectra

Algebraic Topology 2025-10-15 v1
Authors: Bertrand J. Guillou , Carissa Slone
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Abstract

We compute the slices and slice spectral sequence of integral suspensions of the equivariant Eilenberg-Mac Lane spectra HZ‾H\underline{\mathbb{Z}} for the group of equivariance Q8Q_8. Along the way, we compute the Mackey functors π‾kρHZ‾\underline{\pi}_{k\rho} H\underline{\mathbb{Z}}.

Keywords

spectral sequences

Cite

@article{arxiv.2204.03127,
  title  = {The slices of quaternionic Eilenberg-Mac Lane spectra},
  author = {Bertrand J. Guillou and Carissa Slone},
  journal= {arXiv preprint arXiv:2204.03127},
  year   = {2025}
}

Comments

41 pages. Comments welcome!

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