Quantum cohomology and its application (Q1126790)

In this article, the author gives some reminiscences about quantum cohomology. He lists the intuitive interpretation of the Gromov-Witten invariant as an integral over the moduli space of stable \(J\)-holomorphic maps, then mentions the first intersection theory approach and the later virtual neighborhood technique. After presenting axioms for Gromov-Witten invariants and explaining how they can be packaged into a quantum product, he discusses glueing theory and the future research questions that he thinks will be important.