On Welschinger invariants of symplectic 4-manifolds

preprint2015arXivOpen access

Abstract

We prove the vanishing of many Welschinger invariants of real symplectic 44-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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