Quantum cohomology and its application
type: Item
instance of: scholarly article
title: Quantum cohomology and its application
zbMATH Open document ID: 0972.53054
author: Yongbin Ruan
published in: Documenta Mathematica
publication date: 1998-08-06T00:00:00Z
full work available at URL: https://eudml.org/doc/233428
full work available at URL: Ruan.MAN.html
review text: 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.
reviewed by: David Auckly
Mathematics Subject Classification ID: 53D45
Mathematics Subject Classification ID: 14N35
Mathematics Subject Classification ID: 81T70
zbMATH DE Number: 1184340
zbMATH Keywords: quantum cohomology
zbMATH Keywords: Gromov-Witten invariant
zbMATH Keywords: \(J\)-holomorphic maps
zbMATH Keywords: glueing theory
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1184340