16 citations · 19 across the 5 of their papers we have counts for
5 papers
Lower bounds for h-vectors of k-CM, independence and broken circuit complexes
Edward Swartz
We present a number of lower bounds for the h-vectors of k-CM, broken circuit and independence complexes. These lead to bounds on the coefficients of the characteristic and reliabi…
Inequalities for the h- and flag h-vectors of geometric lattices
Kathryn Nyman, Ed Swartz
We prove that the order complex of a geometric lattice has a convex ear decomposition. As a consequence, if D(L) is the order complex of a rank (r+1) geometric lattice L, then for…
Intersection forms of toric hyperkaehler varieties
Tamas Hausel, Edward Swartz
This note proves combinatorially that the intersection pairing on the middle dimensional compactly supported cohomology of a smooth toric hyperkaehler variety is always definite, p…
g-elements of matroid complexes
Edward Swartz
Let K be the face ring of the independence complex of a matroid. We show that if T is a generic linear system of parameters, then K/T satisfies a weak form of the Hard Lefschetz Th…
Topological representations of matroids
Edward Swartz
There is a one-to-one correspondence between geometric lattices and the intersection lattices of arrangements of homotopy spheres. When the arrangements are essential and fully par…