Invariants entiers en géométrie énumérative réelle

Details Invariants entiers en géométrie énumérative réelle Invariants entiers en géométrie énumérative réelle

2010-03-13

arxiv.org/abs/1003.2707v1

Mathematics

Algebraic Geometry

26 pages, 2 figures

Scientific paper

I first recall the various problems of real enumerative geometry out of which I could extract some integer valued invariants, providing some real counterpart to Gromov-Witten invariants. I then discuss sharpness of the lower bounds given by these invariants and some of their arithmetical properties. Finally, I present further results which guaranty the presence or absence of pseudo-holomorphic discs with boundary on a Lagrangian submanifold of a given symplectic manifold.

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