Bier spheres of extremal volume and generalized permutohedra
Bier spheres of extremal volume and generalized permutohedra
We study hidden geometry of Bier spheres Bier(K) = K ?? K? by describing their natural geometric realizations, compute their volume, describe an effective criterion for their polytopality, and associate to Bier(K) a natural coarsening Fan(K) of the braid fan. We also establish a connection of Bier spheres of maximal …