Augmentations and ruling polynomials for Legendrian graphs

초록

We study and show the equivalence between two Legendrian isotopy invariants associated to a (bordered) Legendrian graph: the augmentation number via point counting over a finite field for the augmentation variety of the associated Chekanov-Eliashberg differential graded algebra, and the ruling polynomial via combinatorics of the decompositions of the associated front projection.

키워드