The degree-two equivariant cohomology of 4D toric orbifolds with vanishing odd cohomology has an integral basis identified with the intersection of certain lattices.
Buchstaber and Taras E
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Integral bases for the second degree cohomology of 4-dimensional toric orbifolds
The degree-two equivariant cohomology of 4D toric orbifolds with vanishing odd cohomology has an integral basis identified with the intersection of certain lattices.