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

2014/04/24 by Hiro TANAKA, Tanaka, Hiro Lee
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1404.6273

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.

Citations

• A stable ∞-category of Lagrangian cobordisms

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