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

Hiro Lee Tanaka
From the journal Advances in Geometry

Abstract

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.

Acknowledgements

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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