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arxiv: 1406.5969 · v3 · pith:JZWJ7CYVnew · submitted 2014-06-23 · 🧮 math.SG · math.AG

On Welschinger invariants of symplectic 4-manifolds

classification 🧮 math.SG math.AG
keywords invariantssymplecticwelschingermanifoldsparticularrealresultsannounced
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We prove the vanishing of many Welschinger invariants of real symplectic $4$-manifolds. In some particular instances, we also determine their sign and show that they are divisible by a large power of 2. Those results are a consequence of several relations among Welschinger invariants obtained by a real version of symplectic sum formula. In particular, this note contains proofs of results announced in [BP13].

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