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.

Read more about this topic:  Quantum Cohomology

Famous quotes containing the words big and/or quantum:

    Call the roller of big cigars,
    The muscular one, and bid him whip
    In kitchen cups concupiscent curds.
    Wallace Stevens (1879–1955)

    A personality is an indefinite quantum of traits which is subject to constant flux, change, and growth from the birth of the individual in the world to his death. A character, on the other hand, is a fixed and definite quantum of traits which, though it may be interpreted with slight differences from age to age and actor to actor, is nevertheless in its essentials forever fixed.
    Hubert C. Heffner (1901–1985)