3 papers
math.SG2025
Normal invariant of nearby Lagrangians via twisted derivative
Mohammed Abouzaid, Daniel Álvarez-Gavela, Sylvain Courte +1
Let and be closed, connected, smooth manifolds and let be an exact Lagrangian embedding. The induced map is known by earlier work to be a…
math.SG2016
Simple Homotopy Equivalence of Nearby Lagrangians
Mohammed Abouzaid, Thomas Kragh
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.
math.SG2012
Fibrancy of Symplectic Homology in Cotangent Bundles
Thomas Kragh
We describe how the result in [1] extends to prove the existence of a Serre type spectral sequence converging to the symplectic homology SH_*(M) of an exact Sub-Liouville domain M…