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arXiv · 1912.10782

Augmentations are sheaves for Legendrian graphs

Byung Hee An·Youngjin Bae·Tao Su
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Abstract

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 augmentations of the associated Chekanov-Eliashberg DGA, and a DG category of constructible sheaves on the front plane, with micro-support at contact infinity controlled by the (bordered) Legendrian graph. In other words, generalizing [21], we prove "augmentations are sheaves" in the singular case.

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BibTeXRIS

Byung Hee An, Youngjin Bae, Tao Su. 2019-12-23. Augmentations are sheaves for Legendrian graphs. https://doi.org/10.4310/jsg.2022.v20.n2.a1

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