Resumen de Polycategories via pseudo-distributive laws

Richard Garner

• In this paper, we give a novel abstract description of Szabo's polycategories. We use the theory of double clubs � a generalisation of Kelly's theory of clubs to �pseudo� (or �weak�) double categories � to construct a pseudo-distributive law of the free symmetric strict monoidal category pseudocomonad on Mod over itself qua pseudomonad, and show that monads in the �two-sided Kleisli bicategory� of this pseudo-distributive law are precisely symmetric polycategories