Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Augmentations and ruling polynomials for Legendrian graphs   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.

13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga