Augmentations and ruling polynomials for Legendrian graphs
Symplectic Geometry
2022-11-02 v1 Geometric Topology
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.
Cite
@article{arxiv.1911.11563,
title = {Augmentations and ruling polynomials for Legendrian graphs},
author = {Byung Hee An and Youngjin Bae and Tao Su},
journal= {arXiv preprint arXiv:1911.11563},
year = {2022}
}
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67 pages