In simply-connected cotangent bundles, exact Lagrangian cobordisms are   h-cobordisms
  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. 
Hiro Lee Tanaka
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