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math.DG1999
One-skeleta, Betti numbers and equivariant cohomology
Victor Guillemin, Catalin Zara
The one-skeleton of a G-manifold M is the set of points p in M where ; and M is a GKM manifold if the dimension of this one-skeleton is 2. Goresky, Kottwit…
math.DG1998
Equivariant de Rham Theory and Graphs
Victor Guillemin, Catalin Zara
Goresky, Kottwitz and MacPherson have recently shown that the computation of the equivariant cohomology ring of a G-manifold can be reduced to a computation in graph theory. This o…