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math.AT2026
Partition functors and universal exponential relations
David Mehrle, Millie Rose, Nathaniel Stapleton
We introduce partition functors: algebraic structures indexed by partitions of finite sets and equipped with restriction and transfer maps along refinements. We construct a monad P…
math.AT2026
Composition of bispans of -sets and plethysm
Nathan Cornelius, Evan Franchere, Usman Hafeez +4
Let be the Grothendieck ring of the semiring of endomorphisms of the point in the -category of bispans of finite -sets for a finite group . This is the bispan analo…