A torus manifold is a 2n-dimensional closed manifold with the half dimensional torus action with non-empty fixed points. The equivariant cohomology of torus manifolds with vanishing odd degree cohomology is computed by Masuda-Panov. In this talk we generalize their result to a certain class of torus ``orbifolds’’ by using the GKM method.

This is a joint progress work with Alastair Darby and Jongbaek Song.