Augmentations and ruling polynomials for Legendrian graphs
arXiv:1911.11563 · doi:10.2140/agt.2022.22.2079
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.
arXiv comment67 pages
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