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Real Gromov-Witten invariants on the moduli space of genus 0 stable maps to a smooth rational projective space

Seongchun Kwon
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Abstract

We characterize transversality, non-transversality properties on the moduli space of genus 0 stable maps to a rational projective surface. If a target space is equipped with a real structure, i.e, anti-holomorphic involution, then the results have real enumerative applications. Firstly, we can define a real version of Gromov-Witten invariants. Secondly, we can prove the invariance of Welschinger's invariant in algebraic geometric category.

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Seongchun Kwon. 2004-10-18. Real Gromov-Witten invariants on the moduli space of genus 0 stable maps to a smooth rational projective space. https://arxiv.org/abs/math/0410379

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