Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants

Abstract We show that equivariant Donaldson polynomials of compact toric surfaces can be calculated as residues of suitable combinations of Virasoro conformal blocks, by building on AGT correspondence between N = 2 supersymmetric gauge theories and two-dimensional conformal field theory. Talk 1 presented by A.T. at the conference Interactions between Geometry and Physics — in honor of Ugo Bruzzo’s 60th birthday 17–22 August 2015, Guaruja, Sao Paulo, Brazil, mostly based on Bawane et al. (0000) and Bershtein et al. (0000).