50 citations · 96 across the 18 of their papers we have counts for
4 papers · 1 filter
Chain polynomials of distributive lattices are 75 % unimodal
Anders Björner, Jonathan David Farley
It is shown that the numbers of chains of length in the proper part of a distributive lattice of length satisfy the inequalities $$c_0<.…
A note on blockers in posets
Anders Björner, Axel Hultman
The blocker of an antichain in a finite poset is the set of elements minimal with the property of having with each member of a common predecessor. The following…
Geometrically constructed bases for homology of partition lattices of types A, B and D
Anders Björner, Michelle L. Wachs
We use the theory of hyperplane arrangements to construct natural bases for the homology of partition lattices of types A, B and D. This extends and explains the "splitting basis"…
Subspace arrangements defined by products of linear forms
Anders Björner, Irena Peeva, Jessica Sidman
We consider the vanishing ideal of an arrangement of linear subspaces in a vector space and investigate when this ideal can be generated by products of linear forms. We introduce a…