Gromov-Witten invariants of noncompact symplectic manifolds
type: Item
instance of: scholarly article
title: Gromov-Witten invariants of noncompact symplectic manifolds
zbMATH Open document ID: 1057.53065
author: Guangcun Lu
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2004-08-20T00:00:00Z
review text: The article is an announcement of the author's results about defining Gromov-Witten invariants for noncompact symplectic manifolds which are geometrically bounded. Restricting his attention to a suitable class of stable maps, he proves that there is a virtual fundamental class on the space of these maps. The invariants defined in this way fulfill the divisor and the fundamental class axiom, as well as the usual composition law for the Gromov-Witten invariants.
reviewed by: Mihai Halic
Mathematics Subject Classification ID: 53D45
Mathematics Subject Classification ID: 53D05
zbMATH DE Number: 2093990
zbMATH Keywords: Gromov-Witten invariants
zbMATH Keywords: symplectic manifold
zbMATH Keywords: geometrically bounded
MaRDI profile type: Publication
full work available at URL: j.crma.2004.03.034
OpenAlex ID: W2034516691
cites work: Holomorphic curves in symplectic geometry
cites work: Pseudo holomorphic curves in symplectic manifolds
cites work: Q4858415
cites work: Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds
cites work: Floer homology and Arnold conjecture
cites work: Weinstein conjecture and GW-invariants
cites work: On the equivalence of multiplicative structures in Floer homology and quantum homology
cites work: Gromov-Witten invariants and rigidity of Hamiltonian loops with compact support on noncompact symplectic manifolds
DOI: 10.1016/J.CRMA.2004.03.034
description: scientific article; zbMATH DE number 2093990