Two-Point Gromov-Witten Formulas for Symplectic Toric Manifolds

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Issue Date
1-Aug-12
Authors
Popa, Alexandra Mihaela
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Keywords
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.
Description
84 pg.
DOI