3d N =2 partition functions on the squashed three-sphere S3 b and on the twisted product S2 Ã— S1 have been shown to factorize into sums of squares of solid tori partition functions, the so-calledâ€¦ (More)

We analyze N = 1 theories on S5 and S4 Ã—S1, showing how their partition functions can be written in terms of a set of fundamental 5d holomorphic blocks. We demonstrate that, when the 5d massâ€¦ (More)

We define an elliptic deformation of the Virasoro algebra. We conjecture that the [Formula: see text] Nekrasov partition function reproduces the chiral blocks of this algebra. We support thisâ€¦ (More)