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Existence of generating families on Lagrangian cobordisms

Existence of generating families on Lagrangian cobordisms

Abstract For an embedded exact Lagrangian cobordism between Legendrian submanifolds in the 1-jet bundle, we prove that a generating family linear at infinity on the Legendrian at the negative end extends to a generating family linear at infinity on the Lagrangian cobordism after stabilization if and only if the formal …