Quantum Cohomology

The book gathers the lectures given at the C.I.M.E. summer school &quote;Quantum Cohomology&quote; held in Cetraro (Italy) from June 30th to July 8th, 1997. The lectures and the subsequent updating cover a large spectrum of the subject on the field, from the algebro-geometric point of view, to the symplectic approach, including recent developments of string-branes theories and q-hypergeometric functions.