Symplectic hypersurfaces and transversality in Gromov-Witten theory

Cieliebak, Kai; Mohnke, Klaus

J. Symplectic Geom., Tome 5 (2007) no. 2, p. 281-356 / Harvested from Project Euclid

Résumé

We present a new method to prove transversality for holomorphic curves in symplectic manifolds, and show how it leads to a definition of genus zero Gromov-Witten invariants. The main idea is to introduce additional marked points that are mapped to a symplectic hypersurface of high degree in order to stabilize the domains of holomorphic maps.

Publié le : 2007-09-15
Classification:

@article{1210083200,
     author = {Cieliebak, Kai and Mohnke, Klaus},
     title = {Symplectic hypersurfaces and transversality in Gromov-Witten theory},
     journal = {J. Symplectic Geom.},
     volume = {5},
     number = {2},
     year = {2007},
     pages = { 281-356},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1210083200}
}

Cieliebak, Kai; Mohnke, Klaus. Symplectic hypersurfaces and transversality in Gromov-Witten theory. J. Symplectic Geom., Tome 5 (2007) no. 2, pp.  281-356. http://gdmltest.u-ga.fr/item/1210083200/