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:
“It is not only a question of who is responsible for very young children. There is no longer anyone home to care for adolescents and the elderly. There is no one around to take in the car for repair or to let the plumber in. Working families are faced with daily dilemmas: Who will take care of a sick child? Who will go to the big soccer game? Who will attend the teacher conference?”
—Fran Sussner Rodgers (20th century)
“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)