Two-Point Gromov-Witten Formulas for Symplectic Toric Manifolds

Abstract

We show that the standard generating functions for genus 0 two-point twisted Gromov-Witten invariants arising from concavex vector bundles over symplectic toric manifolds are explicit transforms of the corresponding one-point generating functions. The latter are, in turn, transforms of Givental's J-function. We obtain closed formulas for them and, in particular, for two-point Gromov-Witten invariants of non-negative toric complete intersections. Such two-point formulas should play a key role in the computation of genus 1 Gromov-Witten invariants (closed, open, and unoriented) of toric complete intersections as they indeed do in the case of the projective complete intersections.

71 pages, 1 table, 3 figures

References in corpus (1)

• Enumerative geometry of Calabi-Yau 4-folds

Cited by in corpus (5)

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• Energy Bounds and Vanishing Results for the Gromov-Witten Invariants of the Projective Space
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