On Welschinger invariants of symplectic 4-manifolds
Symplectic Geometry
2015-04-16 v3 Algebraic Geometry
Abstract
We prove the vanishing of many Welschinger invariants of real symplectic -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].
Keywords
Cite
@article{arxiv.1406.5969,
title = {On Welschinger invariants of symplectic 4-manifolds},
author = {Erwan Brugalle and Nicolas Puignau},
journal= {arXiv preprint arXiv:1406.5969},
year = {2015}
}
Comments
26 pages, 9 figures. v3: many details added, previous sections 2 and 3 have been merged