B-Model Approaches to Instanton Counting
arXiv:1412.7133
Abstract
This is the 13th article in the collection of reviews "Exact results in N=2 supersymmetric gauge theories", ed. J. Teschner. It discusses the relation between the instanton partition functions and the partition function of the topological string from the perspective of the B-model. The instanton partition functions provide solutions to the holomorphic anomaly equations characterising the partition functions of the topological string.
24 pages, see also overview article arXiv:1412.7145