Quantum Cohomology - Big Quantum Cohomology

Big Quantum Cohomology

There exists a neighborhood U of 0 ∈ H such that and the Dubrovin connection give U the structure of a Frobenius manifold. Any a in U defines a quantum cup product

by the formula

Collectively, these products on H are called the big quantum cohomology. All of the genus-0 Gromov-Witten invariants are recoverable from it; in general, the same is not true of the simpler small quantum cohomology.

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