Abstract
We derive the partition function of N=4 supersymmetric Yang–Mills theory on orbifold-T4/Z2. In classical geometry, K3 surface is constructed from the orbifold-T4/Z2. Along the same way as the orbifold construction, we construct the partition function of K3 surface from orbifold-T4/Z2. The partition function is given by the product of the contribution of the untwisted sector of T4/Z2, and that of the twisted sector of T4/Z2, i.e. [Formula: see text] curve blowup formula.
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