24 citations · 113 across the 22 of their papers we have counts for
24 papers
Polymatroids are to finite groups as matroids are to finite fields
Ed Swartz, Prairie Wentworth-Nice, Alexander Xue
Given a subgroup of a product of finite groups and we define a polymatroid If all of the $Γ_…
-vectors of manifolds with boundary
Isabella Novik, Ed Swartz
We extend several -type theorems for connected, orientable homology manifolds without boundary to manifolds with boundary. As applications of these results we obtain Kühnel-type…
Three-dimensional normal pseudomanifolds with relatively few edges
Biplab Basak, Ed Swartz
Let be a -dimensional normal pseudomanifold, A relative lower bound for the number of edges in is that of is at least of the link of any verte…
Thirty-five years and counting
Ed Swartz
It has been 35 years since Stanley proved that f-vectors of boundaries of simplicial polytopes satisfy McMullen's conjectured g-conditions. Since then one of the outstanding questi…
The average dual surface of a cohomology class and minimal simplicial decompositions of infinitely many lens spaces
Ed Swartz
Discrete normal surfaces are normal surfaces whose intersection with each tetrahedron of a triangulation has at most one component. They are also natural Poincaré duals to 1-cocycl…
Quotients of Spheres By Linear Actions of Tori
Marisa J. Hughes, Ed Swartz
We consider quotients of spheres by linear actions of real tori. To each quotient we associate a matroid built out of a diagonalization of the torus action. We find the integral ho…