Fulltext

The Lagrangian Cubic Equation

Biran, Paul ; Membrez, Cedric

In: International Mathematics Research Notices, 2016, vol. 2016, no. 9, p. 2569-2631

Ajouter à la liste personnelle
    Titre
    • The Lagrangian Cubic Equation
    Auteur
    • Biran, Paul. Department of Mathematics, ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland
    • Membrez, Cedric. School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv 69978, Israel
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • International Mathematics Research Notices, 2016, vol. 2016, no. 9, p. 2569-2631. Oxford University Press
    Autre version électronique
    Classification
    • Mathématiques
    Mots clés
    Identifiant OAI-PMH
    • oai:doc.rero.ch:331549
    Summary
    Let $M$ be a closed symplectic manifold and $L \subset M$ a Lagrangian submanifold. Denote by $[L]$ the homology class induced by $L$ viewed as a class in the quantum homology of $M$. This paper is concerned with properties and identities involving the class $[L]$ in the quantum homology ring. We also study the relations between these identities and invariants of $L$ coming from Lagrangian Floer theory. We pay special attention to the case when $L$ is a Lagrangian sphere.Communicated by Prof. Mohammed Abouzaid