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Generation of immersed Lagrangians by cocores

2026/05/31 by Wonbo Jeong, Dogancan Karabas, Sangjin Lee
Mathematics · #math.SG #msc:53D37 #msc:53D40 #msc:57R17

paper · pdf

v2: Added a few remarks on the case where the potential has equal values at double points

arxiv created 2026/07/29 · arxiv updated 2026/07/30

Abstract

We extend the generation theorem of Chantraine--Dimitroglou Rizell--Ghiggini--Golovko to exact Lagrangian immersions in Weinstein manifolds. We prove that an exact Lagrangian immersion equipped with an augmentation of the Chekanov--Eliashberg algebra of its Legendrian lift, or equivalently, equipped with a corresponding bounding cochain, is generated by the Lagrangian cocores.

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