Hopf Monoids and Generalized Permutahedra A. J. Angulo Graves reconstructs the ill-fated voyage

Graves reconstructs the ill-fated voyage of Alvaro de Mendana y Neya to find the Solomon Islands

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Hopf Monoids and Generalized Permutahedra A. J. Angulo Graves reconstructs the ill-fated voyageGeneralized permutahedra are polytopes that arise in combinatorics, algebraic geometry, representation theory, topology, and optimization. They possess a rich combinatorial structure. Out of this structure we build a Hopf monoid in the category of species. Species provide a unifying framework for organizing families of combinatorial objects. Many species carry a Hopf monoid structure and are related to generalized permutahedra by means of morphisms of