# Publications

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## Behavior of Welschinger invariants under Morse simplifications

We relate Welschinger invariants of a rational real symplectic 4-manifold
before and after a Morse simplification (i.e deletion of a
sphere or a handle of the real part of the surface). This relation is
a consequence of a real version of Abramovich-Bertram formula
which computes Gromov-Witten
invariants by means of enumeration of
J-holomorphic curves with a non-generic almost complex structure J.
In addition, we give some qualitative consequences of our study, for
example the vanishing of Welschinger invariants in some cases.