Nathaniel Stapleton

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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

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 $…

Composition of bispans of G-sets and plethysm

Additive power operations in equivariant cohomology

Composition of bispans of $G$ -sets and plethysm