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Toric orbifolds are a generalization of simplicial projective toricvarieties. In this paper, we show that there is a resolution of singularitiesof a toric orbifold. In a different category, the class of quasi-contact toricmanifolds contains the class of good contact toric manifolds. We prove that aquasi-contact toric manifold is equivariantly a boundary. Moreover, we concludethat good contact toric manifolds and generalized lens spaces are equivariantlyboundaries.

Resolution of singularities of toric orbifolds and equivariant cobordism of contact toric manifolds