Mirror Maps and Instanton Sums for Complete Intersections in Weighted Projective Space

TL;DR

This paper constructs mirror manifolds for certain Calabi-Yau complete intersections in weighted projective spaces and computes their instanton sums, advancing understanding of mirror symmetry in these geometries.

Contribution

It provides explicit mirror constructions and instanton sum calculations for Calabi-Yau complete intersections in weighted projective spaces with one Kähler modulus.

Findings

Mirror manifolds constructed explicitly.

Instanton sums calculated for these manifolds.

Enhanced understanding of mirror symmetry in weighted projective spaces.

Abstract

We consider a class of Calabi-Yau compactifications which are constructed as a complete intersection in weighted projective space. For manifolds with one K\"ahler modulus we construct the mirror manifolds and calculate the instanton sum.