A bstract We study super Yang-Mills theories on five-dimensional Sasaki-Einstein manifolds. Using localisation techniques, we find that the contribution from the vector multiplet to the perturbative partition function can be calculated by counting holomorphic functions on the associated Calabi-Yau cone. This observation allows us to use standard techniques developed in the context of quiver gauge theories to obtain explicit results for a number of examples; namely S _(5), T _(1,1), Y _(7,3), Y _(2,1), Y _(2,0), and Y _(4,0). We find complete agreement with previous results obtained by Qiu and Zabzine using equivariant indices except for the orbifold limits Y _( p ,0)with p > 1.
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