Uniruled Symplectic Divisors

Abstract

In this article, we consider the problem of lifting the GW theory of a symplectic divisor to that of the ambient manifold in the context of symplectic birational geometry. In particular, we generalize Maulik–Pandharipande’s relative/absolute correspondence to relative-divisor/absolute correspondence. Then, we use it to lift a minimal uniruled invariant of a divisor to that of the ambient manifold.

Keywords

Birational symplectic geometry / Gromov–Witten invariants / Symplectic divisor / Uniruled invariant