Subword complexes, cluster complexes, and generalized multi-associahedraAlgebra & Discrete Mathematics
|Cesar Ceballos, FU Berlin
|Mon, Nov 28 2011, 2:10PM
We present a new family of simplicial complexes called multi-cluster complexes. These complexes generalize the concept of cluster complexes, and extend the notion of multi-associahedra to arbitrary finite Coxeter groups.
We present combinatorial and geometric properties of these objects, as well as open problems and conjectures.
This is joint work with Jean-Philippe Labbé and Christian Stump