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The Symplectic Topology of Projective Manifolds with Small Dual

Biran, Paul ; Jerby, Yochay

In: International Mathematics Research Notices, 2013, vol. 2013, no. 19, p. 4413-4450

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    Titre
    • The Symplectic Topology of Projective Manifolds with Small Dual
    Auteur
    • Biran, Paul
    • Jerby, Yochay. Departement Mathematik, ETH, 8092 Zürich, Switzerland
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • International Mathematics Research Notices, 2013, vol. 2013, no. 19, p. 4413-4450. Oxford University Press
    Autre version électronique
    Classification
    • Santé
    Identifiant OAI-PMH
    • oai:doc.rero.ch:297039
    Summary
    We study smooth projective varieties with small dual variety using methods from symplectic topology. For such varieties, we prove that the hyperplane class is an invertible element in the quantum cohomology of their hyperplane sections. We also prove that the affine part of such varieties are subcritical. We derive several topological and algebraic geometric consequences from that. The main tool in our work is the Seidel representation associated to Hamiltonian fibrations