@inproceedings{b2f4393194b44336bcfef3ace0295fb7,
title = "Hochschild polytopes",
abstract = "The (m, n)-multiplihedron is a polytope whose faces correspond to m-painted n-trees. Deleting certain inequalities from its facet description, we obtain the (m, n)Hochschild polytope whose faces correspond to m-lighted n-shades. Moreover, there is a natural shadow map from m-painted n-trees to m-lighted n-shades, which defines a meet semilattice morphism of rotation lattices. In particular, when m = 1, our Hochschild polytope is a deformed permutahedron realizing the Hochschild lattice.",
keywords = "Freehedron, Hochschild lattice, Multiplihedron, Quotient",
author = "Vincent Pilaud and Daria Poliakova",
note = "Publisher Copyright: {\textcopyright} (2024), (Seminaire Lotharingien de Combinatoire). All rights reserved.; 36th International Conference on Formal Power Series and Algebraic Combinatorics : FPSAC 2024 ; Conference date: 22-07-2024 Through 26-07-2024",
year = "2024",
month = apr,
day = "1",
language = "English",
series = "S{\'e}minaire Lotharingien de Combinatoire",
booktitle = "Proceedings of the 36th Conference on Formal Power and Series and Algebraic Combinatorics",
}