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Floer–Novikov homology and applications to Lagrangian submanifolds

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Abstract

We use a non-Hamiltonian version of Lagrangian Floer homology to prove that an exact Lagrangian submanifold in the cotangent bundle of the 3-torus T 3 must be diffeomorphic to T 3. This improves a previous result of Fukaya, Seidel and Smith.

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Authors and Affiliations

  1. Université de Strasbourg, IRMA, 7, rue René Descartes, 67084, Strasbourg, France

    Mihai Damian

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  1. Mihai Damian
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Correspondence to Mihai Damian.

Additional information

M. Damian is supported by ANR project “Floer Power” ANR-08-BLAN-0291-03.

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Damian, M. Floer–Novikov homology and applications to Lagrangian submanifolds. Math. Z. 270, 1051–1056 (2012). https://doi.org/10.1007/s00209-010-0838-7

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  • DOI: https://doi.org/10.1007/s00209-010-0838-7

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