Commentarii Mathematici Helvetici
Full-Text PDF (509 KB) | Metadata | Table of Contents | CMH summary
Published online: 2015-12-03
On Welschinger invariants of symplectic 4-manifoldsErwan Brugallé and Nicolas Puignau (1) Ecole Polytechnique, Palaiseau, France
(2) Universidade Federal do Rio de Janeiro, Brazil
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 .
Keywords: Real enumerative geometry, Welschinger invariants, Gromov–Witten invariants, symplectic sum formula, symplectic field theory
Brugallé Erwan, Puignau Nicolas: On Welschinger invariants of symplectic 4-manifolds. Comment. Math. Helv. 90 (2015), 905-938. doi: 10.4171/CMH/373