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arXiv · 1406.5969

On Welschinger invariants of symplectic 4-manifolds

Erwan Brugalle·Nicolas Puignau
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Abstract

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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Erwan Brugalle, Nicolas Puignau. 2014-06-23. On Welschinger invariants of symplectic 4-manifolds. https://arxiv.org/abs/1406.5969

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