Algebraic and symplectic Gromov-Witten invariants coincide
Annales de l'Institut Fourier, Tome 49 (1999) no. 6, pp. 1743-1795.

Pour une variété complexe projective il est possible de construire les invariants de Gromov-Witten avec des méthodes algébriques ou symplectiques. Utilisant l’approche algébrique de Behrend et Fantechi et l’approche symplectique de l’auteur, on prouve l’équivalence des deux points de vue.

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 are equivalent

@article{AIF_1999__49_6_1743_0,
     author = {Siebert, Bernd},
     title = {Algebraic and symplectic Gromov-Witten invariants coincide},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {49},
     number = {6},
     year = {1999},
     pages = {1743-1795},
     doi = {10.5802/aif.1737},
     mrnumber = {2001f:14097},
     zbl = {0970.14030},
     language = {en},
     url = {aif.centre-mersenne.org/item/AIF_1999__49_6_1743_0/}
}
Siebert, Bernd. Algebraic and symplectic Gromov-Witten invariants coincide. Annales de l'Institut Fourier, Tome 49 (1999) no. 6, pp. 1743-1795. doi : 10.5802/aif.1737. https://aif.centre-mersenne.org/item/AIF_1999__49_6_1743_0/

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