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arXiv · 2308.05727

Existence of generating families on Lagrangian cobordisms

Wenyuan Li
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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 obstructions vanish. In particular, a Lagrangian filling with trivial stable Lagrangian Gauss map admits a generating family linear at infinity.

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Wenyuan Li. 2023-08-10. Existence of generating families on Lagrangian cobordisms. https://arxiv.org/abs/2308.05727

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