Enumerative invariants of stongly semipositive real symplectic six-manifolds
Algebraic Geometry
2007-09-17 v2 Symplectic Geometry
Abstract
Following the approach of Gromov and Witten, we define invariants under deformation of stongly semipositive real symplectic six-manifolds. These invariants provide lower bounds in real enumerative geometry, namely for the number of real rational -holomorphic curves which realize a given homology class and pass through a given real configuration of points.
Keywords
Cite
@article{arxiv.math/0509121,
title = {Enumerative invariants of stongly semipositive real symplectic six-manifolds},
author = {Jean-Yves Welschinger},
journal= {arXiv preprint arXiv:math/0509121},
year = {2007}
}
Comments
18 pages, 1 figure, main result restricted to dimension six, see Remark 5.6