5 papers
On Welschinger invariants of symplectic 4-manifolds
Erwan Brugalle, Nicolas Puignau
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…
Behavior of Welschinger Invariants under Morse Simplifications
Erwan Brugallé, Nicolas Puignau
We relate Welschinger invariants of a rational real symplectic 4-manifold before and after a Morse simplification (i.e deletion of a sphere or a handle of the real part of the surf…
Enumeration of Real Conics and Maximal Configurations
Erwan Brugallé, Nicolas Puignau
We use floor decompositions of tropical curves to prove that any enumerative problem concerning conics passing through projective-linear subspaces in $\RP^n$ is maximal. That is, t…
On the first Stiefel-Whitney class of moduli space for real rational stable curves in the projective space
Nicolas Puignau
Moduli space of genus zero stable maps to the projective three-space naturally carries a real structure such that the fixed locus is a moduli space for real rational spatial curves…
First Stiefel-Whitney class of real moduli spaces of stable maps to a convex surface
Nicolas Puignau
Let be a convex projective surface equipped with a real structure. The space of stable maps carries different real structures induced by $c…