Volume 220 (2018)
Simple homotopy equivalence of nearby Lagrangians
Pages: 207 – 237
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.
exact Lagrangian embedding, cotangent bundle, spectral sequence
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.
Received 17 March 2016
Received revised 23 October 2017
Accepted 6 December 2017
Published 16 August 2018