Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry

Details Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry

2003-03-12

arxiv.org/abs/math/0303145v1

Mathematics

Algebraic Geometry

31 pages, 8 figures

Scientific paper

We first present the construction of the moduli space of real pseudo-holomorphic curves in a given real symplectic manifold. Then, following the approach of Gromov and Witten, we construct invariants under deformation of real rational symplectic 4-manifolds. These invariants provide lower bounds for the number of real rational $J$-holomorphic curves in a given homology class passing through a given real configuration of points.

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