Enumerative invariants of stongly semipositive real symplectic six-manifolds

Details Enumerative invariants of stongly semipositive real symplectic six-manifolds Enumerative invariants of stongly semipositive real symplectic six-manifolds

2005-09-06

arxiv.org/abs/math/0509121v2

Mathematics

Algebraic Geometry

18 pages, 1 figure, main result restricted to dimension six, see Remark 5.6

Scientific paper

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 $J$-holomorphic curves which realize a given homology
class and pass through a given real configuration of points.

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