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

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

2009-02-23

arxiv.org/abs/0902.3863v2

Journal of Geometry and Physics, Vol. 61, Issue 8, (2011) 1564-1573

Mathematics

Algebraic Geometry

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

Scientific paper

10.1016/j.geomphys.2011.03.014

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.

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