Exact Lagrangian cobordism and pseudo-isotopy

Abstract

We show that under some topological assumptions, an exact Lagrangian cobordism (W; L0, L1) of dimension dim(W) >5 is a Lagrangian pseudo-isotopy. This result is a weaker form of a conjecture proposed by Biran and Cornea, which states that any exact Lagrangian cobordism is Hamiltonian isotopic to a Lagrangian suspension.

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