Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants
arXiv:1606.07148 · doi:10.1016/j.geomphys.2017.01.012
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 presented by A.T. at the conference "Interactions between Geometry and Physics", in honor of Ugo Bruzzo's 60th birthday 17-22 August 2015, Guarujá, São Paulo, Brasil, mostly based on [arXiv:1411.2762] and [arXiv:1509.00267]. 13 pages. Version published in Journal of Geometry and Physics