Algebraic and symplectic Gromov-Witten invariants coincide
Algebraic Geometry
2007-05-23 v1 Geometric Topology
Symplectic Geometry
Abstract
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).
Cite
@article{arxiv.math/9804108,
title = {Algebraic and symplectic Gromov-Witten invariants coincide},
author = {Bernd Siebert},
journal= {arXiv preprint arXiv:math/9804108},
year = {2007}
}
Comments
43 pages, Latex2e with AMS-fonts