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arXiv · 1003.2707

Invariants entiers en géométrie énumérative réelle

Jean-Yves Welschinger
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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.

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Jean-Yves Welschinger. 2010-03-13. Invariants entiers en géométrie énumérative réelle. https://arxiv.org/abs/1003.2707

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