Global Kuranishi charts and a product formula in symplectic Gromov-Witten theory

Abstract

We construct global Kuranishi charts for the moduli spaces of stable pseudoholomorphic maps to a closed symplectic manifold in all genera. This is used to prove a product formula for symplectic Gromov-Witten invariants. As a consequence we obtain a K\"unneth formula for quantum cohomology.

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