  In this article we study the equivariant elliptic cohomology of complex toric
varieties. We prove a partial reconstruction theorem showing that equivariant
elliptic cohomology encodes considerable non-trivial information on the
equivariant 1-skeleton of a toric variety X (although it stops short of being a
complete invariant of its GKM graphs). Elliptic cohomology is supposed to
encode higher categorical geometric data, and proposals have been made linking
elliptic cocycles to categorified bundles. In particular, contrary to ordinary
cohomology and K-theory, elliptic cohomology is expected not to be a derived
invariant of algebraic varieties. Our second main result is to verify this
prediction by showing that there exist pairs of equivariantly derived
equivalent toric varieties with non-isomorphic equivariant elliptic cohomology.
