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arXiv · 1911.11563

Augmentations and ruling polynomials 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 Legendrian isotopy invariants: augmentation number via point-counting over a finite field, for the augmentation variety of the associated Chekanov-Eliashberg differential graded algebra, and ruling polynomial via combinatorics of the decompositions of the associated front projection.

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Byung Hee An, Youngjin Bae, Tao Su. 2019-11-26. Augmentations and ruling polynomials for Legendrian graphs. https://doi.org/10.2140/agt.2022.22.2079

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