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math.CT2026
Invertibility and parity in symmetric monoidal categories
Nick Gurski, Niles Johnson
We introduce a notion of parity for formal morphisms between invertible objects and use it to prove a corresponding coherence theorem. Parity is conceptually similar to the sign of…
math.CT2026
Operads and equivariance
Alexander Corner, Nick Gurski
Operads were originally defined by May to have right actions of the symmetric groups, but later formulations have also used no groups actions at all or group actions by such famili…