2010/03/13 by Jean-Yves Welschinger, Welschinger, Jean-Yves
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Geometry and complex manifolds #math.AG #math.SG #msc:14N35 #msc:53D45
paper · pdf · doi:10.48550/arxiv.1003.2707
26 pages, 2 figures
arxiv created 2010/03/13 · arxiv updated 2010/03/16
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.