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

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

2007-12-21

arxiv.org/abs/0712.3629v3

Letters in Mathematical Physics, Vol.86, No.2-3, 99-114 (2008)

Mathematics

Algebraic Geometry

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

Scientific paper

10.1007/s11005-008-0278-z

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.

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