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On Welschinger invariants of symplectic 4-manifolds - MaRDI portal

On Welschinger invariants of symplectic 4-manifolds (Q906566)

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On Welschinger invariants of symplectic 4-manifolds
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    On Welschinger invariants of symplectic 4-manifolds (English)
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    22 January 2016
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    Summary: 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 [the authors, Rend. Semin. Mat. Univ. Padova 130, 147--153 (2013; Zbl 1292.14034)].
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    real enumerative geometry
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    Welschinger invariants
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    Gromov-Witten invariants
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    symplectic sum formula
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    symplectic field theory
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