Starting from a theory on S3 × S3 and dimensionally reducing, we compute the full partition function, including flux and instanton contributions, for an \( \mathcal{N} \) = 1 theory of vector multiplets and hypermultiplets on five-dimensional toric Sasakian manifolds Y p,q. Dimensionally reducing, we obtain the partition function for Pestun-like theories on a class of manifolds whose topology is S2 × S2. Generalizing the procedure starting from branched covers of S3 × S3, we reduce to a theory on Y p,q with codimension two twist defects. Exploiting a proposed equivalence with partition functions on spaces with orbifold singularities, our results provide the partition function of an \( \mathcal{N} \) = 2 theory on the product of two spindles.
