Virtual Structure Constants as Intersection Numbers of Moduli Space of Polynomial Maps with Two Marked Points

Abstract

In this paper, we derive the virtual structure constants used in mirror computation of degree k hypersurface in CP^{N-1}, by using localization computation applied to moduli space of polynomial maps from CP^{1} to CP^{N-1} with two marked points. We also apply this technique to non-nef local geometry O(1)+O(-3)->CP^{1} and realize mirror computation without using Birkhoff factorization.

10 pages, latex, a minor change in Section 4, English is refined, Some typing errors in Section 3 are corrected

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Cited by in corpus (4)

• 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
• Direct Proof of Mirror Theorem of Projective Hypersurfaces up to degree 3 Rational Curves
• Elliptic Virtual Structure Constants and Generalizations of BCOV-Zinger Formula to Projective Fano Hypersurfaces