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The Lagrangian cobordism group of $$T^2$$ T 2

Haug, Luis

In: Selecta Mathematica, 2015, vol. 21, no. 3, p. 1021-1069

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    Titre
    • The Lagrangian cobordism group of $$T^2$$ T 2
    Auteur
    • Haug, Luis. Department of Mathematics, ETH Zürich, Rämistrasse 101, 8092, Zurich, Switzerland
    Type de document
    • Postprint
    Identifiant OAI-PMH
    • oai:doc.rero.ch:332486
    Summary
    We compute the Lagrangian cobordism group of the standard symplectic 2-torus and show that it is isomorphic to the Grothendieck group of its derived Fukaya category. The proofs use homological mirror symmetry for the 2-torus.