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:
“Tom: All right, boys. Cmon. Why dont you say Im a yellow belly and a big mouth at that?
Shep: You yellow? Who thinks youre yellow? Did you hear what he said? A guy whos got the nerve to marry? Thats more than Flash Gordon ever did.”
—Billy Wilder (b. 1906)
“But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, quantum theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.”
—Antonin Artaud (18961948)