Equivariant Gromov-Witten Invariants of Algebraic GKM Manifolds
arXiv:1407.1370 · doi:10.3842/SIGMA.2017.048
Abstract
An algebraic GKM manifold is a non-singular algebraic variety equipped with an algebraic action of an algebraic torus, with only finitely many torus fixed points and finitely many 1-dimensional orbits. In this expository article, we use virtual localization to express equivariant Gromov-Witten invariants of any algebraic GKM manifold (which is not necessarily compact) in terms of Hodge integrals over moduli stacks of stable curves and the GKM graph of the GKM manifold.
Section 3.1-3.4 (review of Gromov-Witten theory) are similar to Section 3.1-3.4 of arXiv:1107.4712. Section 4 generalizes the toric case in Section 5 of arXiv:1107.4712 to the GKM case