%0 Journal Article
%T Descendent theory for stable pairs on toric 3-folds
%A R. Pandharipande
%A A. Pixton
%J Mathematics
%D 2010
%I arXiv
%X We prove the rationality of the descendent partition function for stable pairs on nonsingular toric 3-folds. The method uses a geometric reduction of the 2- and 3-leg descendent vertices to the 1-leg case. As a consequence, we prove the rationality of the relative stable pairs partition functions for all log Calabi-Yau geometries of the form (X,K3) where X is a nonsingular toric 3-fold.
%U http://arxiv.org/abs/1011.4054v4