Simple Homotopy Equivalence of Nearby Lagrangians

2016/03/17 by Abouzaid, Mohammed, Kragh, Thomas · 1 citation
#19B99 #53D12 #53D40 #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1603.05431

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.

Cited by

• Lagrangian Floer theory, from geometry to algebra and back again

Related

• Homotopy equivalence of nearby Lagrangians and the Serre spectral sequence
• Exact Lagrangians in the cotangent bundle of a sphere and a torus
• Nearby Lagrangians with vanishing Maslov class are homotopy equivalent
• On the projection of exact Lagrangians in locally conformally symplectic geometry
• Regular Lagrangians are smooth Lagrangians