Simple homotopy equivalence of nearby Lagrangians

Mohammed Abouzaid; Thomas Kragh

doi:10.4310/ACTA.2018.v220.n2.a1

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Home > Journals > Acta Math. > Volume 220 > Issue 2 > Article

June 2018 Simple homotopy equivalence of nearby Lagrangians

Mohammed Abouzaid, Thomas Kragh

Author Affiliations +

Mohammed Abouzaid,¹ Thomas Kragh²
¹Department of Mathematics, Columbia University, New York, N.Y., U.S.A.
²Department of Mathematics, Uppsala University, Uppsala, Sweden

Acta Math. 220(2): 207-237 (June 2018). DOI: 10.4310/ACTA.2018.v220.n2.a1

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Abstract

Given a closed exact Lagrangian in the cotangent bundle of a closed smooth manifold, we prove that the projection to the base is a simple homotopy equivalence.

Funding Statement

M. A. was supported by NSF grant DMS-1308179, and by Simons Foundation grant 385571. The authors were hosted by the Mittag-Leffler Institute during its “Symplectic Geometry and Topology” program in Fall 2015.

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Mohammed Abouzaid. Thomas Kragh. "Simple homotopy equivalence of nearby Lagrangians." Acta Math. 220 (2) 207 - 237, June 2018. https://doi.org/10.4310/ACTA.2018.v220.n2.a1