Bertrand J. Guillou

collaborators

3 papers

math.AT2026

The Zero Slice of Quaternionic Real Bordism

Bertrand J. Guillou, Jesse Keyes, David Mehrle

Using the Hill-Hopkins-Ravenel norm, one can produce a $Q_{8}$ -spectrum $N_{C_{2}}^{Q_{8}} MU R$ , where $Q_{8}$ is the quaternion group. Working towards a computation of the…

math.AT2026

The real Brown-Peterson homology of $Ω^{ρ} S^{ρ + 1}$

Christian Carrick, Bertrand Guillou, Sarah Petersen

We compute the $R O (C_{2})$ -graded real Brown--Peterson homology of the representation-loop space $Ω^{ρ} S^{ρ + 1}$ , where $ρ$ is the regular representation of the cyclic group of order t…

math.AT2025

The $R O (K)$ -graded homotopy of Klein-four normed Mackey functors

Bertrand J. Guillou, Jesse Keyes, David Mehrle

We compute the $R O (K)$ -graded coefficients of the equivariant Eilenberg-Mac Lane spectrum associated to various Hill-Hopkins-Ravenel norms of the constant- $F_{2}$ …

The Zero Slice of Quaternionic Real Bordism

The real Brown-Peterson homology of ΩρSρ+1

The RO(K)-graded homotopy of Klein-four normed Mackey functors

The real Brown-Peterson homology of $Ω^{ρ} S^{ρ + 1}$

The $R O (K)$ -graded homotopy of Klein-four normed Mackey functors