Tom Graber

Quantum product and the intermediate Jacobian

I will discuss joint work with R. Pandharipande which addresses two questions about the genus zero Gromov-Witten theory of the cubic threefold. First, we study the Gromov-Witten invariants involving the odd cohomology. Second, we study the quantum product on the Chow ring. These questions are related in that both can be interpreted in terms of the geometry of the intermediate Jacobian and the Abel-Jacobi map.