23 citations · 118 across the 31 of their papers we have counts for
36 papers
Triangulating the Permutahedron
Thomas Brady, Emanuele Delucchi, Colum Watt
For a finite irreducible real reflection group, , we triangulate its permutahedron and use this to give an explicit homotopy equivalence between two known classifying spaces for…
Monodromy of supersolvable toric arrangements
Christin Bibby, Daniel C. Cohen, Emanuele Delucchi
We study topological aspects of supersolvable abelian arrangements, toric arrangements in particular. The complement of such an arrangement sits atop a tower of fiber bundles, and…
Toric arrangements and Bloch-Kato pro- groups
Emanuele Delucchi, Ettore Marmo
We prove a purely combinatorial obstruction for the Bloch-Kato property within the class of fundamental groups of complement manifolds of toric arrangements (i.e., arrangements of…
Combinatorial invariants of finite metric spaces and the Wasserstein arrangement
Emanuele Delucchi, Lukas Kühne, Leonie Mühlherr
In 2010, Vershik proposed a new combinatorial invariant of metric spaces given by a class of polytopes that arise in the theory of optimal transport and are called ``Wasserstein po…
Equivariant Hilbert and Ehrhart series under translative group actions
Alessio D'Alì, Emanuele Delucchi
We study representations of finite groups on Stanley--Reisner rings of simplicial complexes and on lattice points in lattice polytopes. The framework of translative group actions a…
Combinatorial generators for the cohomology of toric arrangements
Filippo Callegaro, Emanuele Delucchi
We give a new combinatorial description of the cohomology ring structure of of the complement of a real complexified toric arrange…