Bertrand J. Guillou

collaborators

4 papers

math.AT2026

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- $F_{2}$ …

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

Additive power operations in equivariant cohomology

Peter J. Bonventre, Bertrand J. Guillou, Nathaniel J. Stapleton

Let $G$ be a finite group and $E$ be an $H_{\infty}$ -ring $G$ -spectrum. For any $G$ -space $X$ and positive integer $m$ , we give an explicit description of the smallest Mackey ideal $…

math.AT2026

The real Brown-Peterson homology of $I^c ◯^{I ¨} S^{I ¨ + 1}$

Christian Carrick, Bertrand Guillou, Sarah Petersen

We compute the $R O (C_{2})$ -graded real Brown--Peterson homology of the representation-loop space $I^c ◯^{I ¨} S^{I ¨ + 1}$ , where $I ¨ $ is the regular representation of the cyclic group of ord…

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

The Zero Slice of Quaternionic Real Bordism

Additive power operations in equivariant cohomology

The real Brown-Peterson homology of I^c◯I¨SI¨+1

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

The real Brown-Peterson homology of $I^c ◯^{I ¨} S^{I ¨ + 1}$