Jesse Keyes

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math.AT2026

Composition of bispans of $G$ -sets and plethysm

Nathan Cornelius, Evan Franchere, Usman Hafeez +4

Let $P (G)$ be the Grothendieck ring of the semiring of endomorphisms of the point in the $1$ -category of bispans of finite $G$ -sets for a finite group $G$ . This is the bispan analo…

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.AT2025

Picard Groups in Equivariant Algebra and Stable Homotopy Theory

Jesse Keyes, Jordan Sawdy

Traditionally, homotopy groups in $G$ -equivariant stable homotopy theory have been graded over $RO (G)$ , the real representation ring of $G$ . It is arguably more natural to g…

math.AT2025

The $R O (K)$ -graded Coefficients of $H A$

Jesse Keyes

In $G$ -equivariant stable homotopy theory, it is known that the equivariant Eilenberg-Mac Lane spectra representing ordinary equivariant cohomology have nontrivial $R O (G)$ -graded h…

Composition of bispans of G-sets and plethysm

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

The Zero Slice of Quaternionic Real Bordism

Picard Groups in Equivariant Algebra and Stable Homotopy Theory

The RO(K)-graded Coefficients of HA​

Composition of bispans of $G$ -sets and plethysm

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

The $R O (K)$ -graded Coefficients of $H A$