Algebraic and symplectic Gromov-Witten invariants coincide

Details Algebraic and symplectic Gromov-Witten invariants coincide Algebraic and symplectic Gromov-Witten invariants coincide

1998-04-22

arxiv.org/abs/math/9804108v1

Mathematics

Algebraic Geometry

43 pages, Latex2e with AMS-fonts

Scientific paper

For a complex projective manifold Gromov-Witten invariants can be constructed either algebraically or symplectically. Using the versions of Gromov-Witten theory by Behrend and Fantechi on the algebraic side and by the author on the symplectic side, we prove that both points of view give the same results. A similar statement has been obtained independently by Li and Tian using their definitions of algebraic and symplectic Gromov-Witten invariants (alg-geom/9712035).

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