Associativity of quantum multiplication
type: Item
instance of: scholarly article
title: Associativity of quantum multiplication
zbMATH Open document ID: 0891.53022
author: Gang Liu
published in: Communications in Mathematical Physics
publication date: 1998-02-01T00:00:00Z
review text: This paper is a short version of the author's dissertation on quantum cohomology. A symplectic manifold \((V,\omega)\) is called monotonic, if there exists a constant \(\lambda>0\) such that for any \(f\in \pi_2(V)\), \(\omega(f)=\lambda c_1(f*TV)\). The author proves the associativity of the multiplication of quantum cohomology for a monotone compact symplectic manifold \(V\) for which \(c_1(A)>1\) for any effective class \(A\in H_2(V)\).
reviewed by: Viktor Abramov
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 55N45
Mathematics Subject Classification ID: 58D27
zbMATH DE Number: 1111608
zbMATH Keywords: monotonic symplectic manifolds
zbMATH Keywords: quantum cohomology
zbMATH Keywords: quantum multiplication
zbMATH Keywords: moduli problems
MaRDI profile type: Publication
full work available at URL: s002200050268
OpenAlex ID: W2032489239
DOI: 10.1007/S002200050268
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description: scientific article; zbMATH DE number 1111608