%0 Journal Article
%T Gromov-Witten theory of A_n-resolutions
%A Davesh Maulik
%J Mathematics
%D 2008
%I arXiv
%R 10.2140/gt.2009.13.1729
%X We give a complete solution for the reduced Gromov-Witten theory of resolved surface singularities of type A_n, for any genus, with arbitrary descendent insertions. We also present a partial evaluation of the T-equivariant relative Gromov-Witten theory of the threefold A_n x P^1 which, under a nondegeneracy hypothesis, yields a complete solution for the theory. The results given here allow comparison of this theory with the quantum cohomology of the Hilbert scheme of points on the A_n surfaces. We discuss generalizations to linear Hodge insertions and to surface resolutions of type D,E. As a corollary, we present a new derivation of the stationary Gromov-Witten theory of P^1.
%U http://arxiv.org/abs/0802.2681v1