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:
“Nothing is far and nothing is near, if one desires. The world is little, people are little, human life is little. There is only one big thing—desire.”
—Willa Cather (1873–1947)
“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 (1896–1948)