Jean-Yves Welschinger

activity

20022024

most citedBetti numbers of random real hypersurfaces and determinants of random symmetric matrices

53 citations · 82 across the 11 of their papers we have counts for

collaborators

Showing 2005Show all

3 papers · 1 filter

math.AG2005

Enumerative invariants of stongly semipositive real symplectic six-manifolds

Jean-Yves Welschinger

Following the approach of Gromov and Witten, we define invariants under deformation of stongly semipositive real symplectic six-manifolds. These invariants provide lower bounds in…

math.SG2005★ 7 cited

Towards relative invariants of real symplectic 4-manifolds

Jean-Yves Welschinger

Let $(X, ω, c_{X})$ be a real symplectic 4-manifold with real part $R X$ . Let $L \subset R X$ be a smooth curve such that $[L] = 0 \in H_{1} (R X; Z /2 Z)$ . We construct invariants un…

math.SG2005★ 2 cited

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…