{ "id": "1003.2707", "version": "v1", "published": "2010-03-13T13:28:02.000Z", "updated": "2010-03-13T13:28:02.000Z", "title": "Invariants entiers en géométrie énumérative réelle", "authors": [ "Jean-Yves Welschinger" ], "comment": "26 pages, 2 figures", "categories": [ "math.AG", "math.SG" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2010-03-13T13:28:02.000Z" } ], "analyses": { "subjects": [ "53D45", "14N35" ], "keywords": [ "invariants entiers", "symplectic manifold", "first recall", "lagrangian submanifold", "pseudo-holomorphic discs" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1003.2707W" } } }