- Acta Math.
- Volume 220, Number 2 (2018), 207-237.
Simple homotopy equivalence of nearby Lagrangians
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.
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.
Acta Math., Volume 220, Number 2 (2018), 207-237.
Received: 17 March 2016
Revised: 23 October 2017
First available in Project Euclid: 19 June 2019
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Abouzaid, Mohammed; Kragh, Thomas. Simple homotopy equivalence of nearby Lagrangians. Acta Math. 220 (2018), no. 2, 207--237. doi:10.4310/ACTA.2018.v220.n2.a1. https://projecteuclid.org/euclid.acta/1560966691