Abstract:
We establish a formula for the Gromov–Witten–Welschinger
invariants of
$\mathbb{C} P^3\#\overline{\mathbb{C} P}^3$.
Using birational transformations and pencils of
quadrics, we write some real and complex enumerative invariants
of
$\mathbb{C} P^3\#\overline{\mathbb{C} P}^3$
as combinations
of enumerative invariants of the blow up of
$\mathbb{C} P^2$
at two real points.
