Graph equivariant cohomological rigidity for GKM graphs

Abstract

We formulate the notion of an isomorphism of GKM graphs. We then show that two GKM graphs have isomorphic graph equivariant cohomology algebras if and only if the graphs are isomorphic.

6 pages

Cited by in corpus (3)

• GKM manifolds are not rigid
• Equivariant $K$-theory of even-dimensional complex quadrics
• GKM graph locally modeled by $T^n\times S^1$-action on $T^{\ast }{\mathbb{C}}^n$ and its graph equivariant cohomology