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In simply connected cotangent bundles, exact Lagrangian cobordisms are h-cobordisms

  • Hiro Lee Tanaka EMAIL logo
From the journal Advances in Geometry


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.

MSC 2010: 53D12; 53D37

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.

  1. Communicated by: K. Ono


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Received: 2018-09-07
Revised: 2018-12-08
Published Online: 2019-09-11
Published in Print: 2021-01-27

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