Let Q be a simply connected manifold. We show that every exact Lagrangian cobordism between compact, exact Lagrangians in T*Q is an h-cobordism. This is a corollary of the Abouzaid–Kragh Theorem.
Funding statement: The author was supported by a Presidential Fellowship from Northwestern University’s Office of the President, an NSF Graduate Research Fellowship, and a Mathematical Sciences Research Institute Postdoctoral Fellowship.
We are grateful to Tim Perutz for helpful feedback on this paper. We also thank the referee for very helpful comments.
Communicated by: K. Ono
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