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Augmentations are sheaves for Legendrian graphs

Augmentations are sheaves for Legendrian graphs

In this article, associated to a (bordered) Legendrian graph, we study and show the equivalence between two categorical Legendrian isotopy invariants: the augmentation category, a unital $A_{\infty}$-category, which lifts the set of of the associated Chekanov-Eliashberg DGA, and a DG category of constructible on the front plane, with micro-support at …