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}, pages = {1743--1795}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {49}, number = {6}, year = {1999}, doi = {10.5802/aif.1737}, mrnumber = {2001f:14097}, zbl = {0970.14030}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.1737/} }
TY - JOUR AU - Siebert, Bernd TI - Algebraic and symplectic Gromov-Witten invariants coincide JO - Annales de l'Institut Fourier PY - 1999 SP - 1743 EP - 1795 VL - 49 IS - 6 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.1737/ DO - 10.5802/aif.1737 LA - en ID - AIF_1999__49_6_1743_0 ER -
%0 Journal Article %A Siebert, Bernd %T Algebraic and symplectic Gromov-Witten invariants coincide %J Annales de l'Institut Fourier %D 1999 %P 1743-1795 %V 49 %N 6 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.1737/ %R 10.5802/aif.1737 %G en %F 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. http://www.numdam.org/articles/10.5802/aif.1737/
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