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arXiv · 2508.06822

Augmentation categories in higher dimensions

Hanming Liu
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Abstract

For an exact symplectic manifold $M$ and a Legendrian submanifold $\Lambda$ of the contactification $M\times \mathbb{R}$, we construct the augmentation category (over a field of characteristic 2), a unital $A_\infty$-category whose objects are augmentations of the Chekanov-Eliashberg differential graded algebra. This extends the construction of the augmentation category by Ng-Rutherford-Shende-Sivek-Zaslow to contact manifolds of dimension greater than 3.

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Hanming Liu. 2025-08-09. Augmentation categories in higher dimensions. https://arxiv.org/abs/2508.06822

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