Turkish Journal of Mathematics
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.
DOI
-
Keywords
Gromov-Witten invariant, enumerative invariant, transversality, intersection multiplicity, real structure
First Page
155
Last Page
186
Recommended Citation
KWON, S (2008). Real Gromov-Witten Invariants on the Moduli Space of Genus 0 Stable Maps to a Smooth Rational Projective Space. Turkish Journal of Mathematics 32 (2): 155-186. https://doi.org/-