On Mirror Formulas in Open and Closed Gromov-Witten Theory

Details On Mirror Formulas in Open and Closed Gromov-Witten Theory On Mirror Formulas in Open and Closed Gromov-Witten Theory

2010-10-10

arxiv.org/abs/1010.1946v2

Mathematics

Algebraic Geometry

computation of Klein bottle invariants added; description of structure coefficients streamlined; 52 pages, 5 tables, 2 figures

Scientific paper

We obtain mirror formulas for twisted genus 0 two-point Gromov-Witten (GW) invariants of projective spaces and for the genus 0 two-point GW-invariants of Fano and Calabi-Yau complete intersections. This extends previous results for projective hypersurfaces, following the same approach, but with greater detail in the Fano case. The Calabi-Yau case is used in this paper to confirm two recent mirror symmetry conjectures concerning open genus 1 GW-invariants and in a separate paper to obtain mirror formulas for the closed genus 1 GW-invariants of projective complete intersections.

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