Direct Proof of Mirror Theorem of Projective Hypersurfaces up to degree 3 Rational Curves

Abstract

In this paper, we directly derive generalized mirror transformation of projective hypersurfaces up to degree 3 genus 0 Gromov-Witten invariants by comparing Kontsevich localization formula with residue integral representation of the virtual structure constants. We can easily generalize our method for rational curves of arbitrary degree except for combinatorial complexities.

11 pages, latex, some typos are corrected, references are updated

References in corpus (2)

• J functions, non-nef toric varieties and equivariant local mirror symmetry of curves
• Virtual Structure Constants as Intersection Numbers of Moduli Space of Polynomial Maps with Two Marked Points

Cited by in corpus (2)

• Mirror Map as Generating Function of Intersection Numbers: Toric Manifolds with Two Kähler Forms
• Open Virtual Structure Constants and Mirror Computation of Open Gromov-Witten Invariants of Projective Hypersurfaces