7 citations · 11 across the 5 of their papers we have counts for
6 papers
Towards relative invariants of real symplectic 4-manifolds
Jean-Yves Welschinger
Let be a real symplectic 4-manifold with real part . Let be a smooth curve such that . We construct invariants un…
Invariants of real symplectic 4-manifolds out of reducible and cuspidal curves
Jean-Yves Welschinger
We construct invariants under deformation of real symplectic 4-manifolds. These invariants are obtained by counting three different kinds of real rational J-holomorphic curves whic…
Spinor states of real rational curves in real algebraic convex 3-manifolds and enumerative invariants
Jean-Yves Welschinger
Let be a real algebraic convex 3-manifold whose real part is equipped with a structure. We show that every irreducible real rational curve with non-empty real part has…
Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry
Jean-Yves Welschinger
We first present the construction of the moduli space of real pseudo-holomorphic curves in a given real symplectic manifold. Then, following the approach of Gromov and Witten, we c…
Deformation classes of real ruled manifolds
Jean-Yves Welschinger
A complete description of the deformation classes of real ruled manifolds is given. In particular, we prove that once the complex deformation class is fixed, the real deformation c…
Real structures on minimal ruled surfaces
Jean-Yves Welschinger
In this paper, we give a complete description of the deformation classes of real structures on minimal ruled surfaces. In particular, we show that these classes are determined by t…