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math.CO2002
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…
math.CO2002
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…