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Lagrangian cobordism and Fukaya categories

Biran, Paul ; Cornea, Octav

In: Geometric and Functional Analysis, 2014, vol. 24, no. 6, p. 1731-1830

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    Titre
    • Lagrangian cobordism and Fukaya categories
    Auteur
    • Biran, Paul. Department of Mathematics, ETH-Zürich, Rämistrasse 101, 8092, Zurich, Switzerland
    • Cornea, Octav. Department of Mathematics and Statistics, University of Montreal, C.P. 6128, Succ. Centre-Ville, H3C 3J7, Montreal, QC, Canada
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Geometric and Functional Analysis, 2014, vol. 24, no. 6, p. 1731-1830. Springer Basel
    Autre version électronique
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:326450
    Summary
    Given a symplectic manifold M we consider a category with objects finite ordered families of Lagrangian submanifolds of M (subject to certain additional constraints) and with morphisms Lagrangian cobordisms relating them. We construct a functor that maps this category to a variant of the derived Fukaya category of M in a way that takes into account the triangulated structure of the latter.