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

Abstract

We show that if Q is simply connected, every exact Lagrangian cobordism between compact, exact Lagrangians in the cotangent bundle of Q is an h-cobordism. The result is an exercise in basic algebraic topology once one invokes the Abouzaid-Kragh theorem.

4 pages, comments welcome

References in corpus (3)

• Parametrized Ring-Spectra and the Nearby Lagrangian Conjecture
• Exact Lagrangian submanifolds in simply-connected cotangent bundles
• The Fukaya category pairs with Lagrangian cobordisms

Cited by in corpus (2)

• A stable infinity-category of Lagrangian cobordisms
• Lagrangian Cobordisms in Liouville manifolds