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Article Dans Une Revue Rendiconti del Seminario Matematico della Università di Padova Année : 2013

Behavior of Welschinger Invariants under Morse Simplifications

Résumé

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.

Dates et versions

hal-02175131 , version 1 (05-07-2019)

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Erwan Brugallé, Nicolas Puignau. Behavior of Welschinger Invariants under Morse Simplifications. Rendiconti del Seminario Matematico della Università di Padova, 2013, 130, pp.147-153. ⟨10.4171/RSMUP/130-4⟩. ⟨hal-02175131⟩
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