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 twodimensional conformal field theory.
 Publication:

Journal of Geometry and Physics
 Pub Date:
 August 2017
 DOI:
 10.1016/j.geomphys.2017.01.012
 arXiv:
 arXiv:1606.07148
 Bibcode:
 2017JGP...118...40B
 Keywords:

 Exact partition function;
 Supersymmetry;
 Equivariant localization;
 Donaldson invariants;
 Virasoro conformal blocks;
 AGT;
 High Energy Physics  Theory;
 Mathematics  Algebraic Geometry;
 Mathematics  Representation Theory
 EPrint:
 Talk presented by A.T. at the conference "Interactions between Geometry and Physics", in honor of Ugo Bruzzo's 60th birthday 1722 August 2015, Guaruj\'a, S\~ao Paulo, Brasil, mostly based on [arXiv:1411.2762] and [arXiv:1509.00267]. 13 pages. Version published in Journal of Geometry and Physics