Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Legendrian grid number one knots and augmentations of their differential
  algebras   In this article we study the differential graded algebra (DGA) invariant
associated to Legendrian knots in tight lens spaces. Given a grid number one
diagram for a knot in L(p, q), we show how to construct a special Lagrangian
diagram suitable for computing the DGA invariant for the Legendrian knot
specified by the diagram. We then specialize to L(p, p - 1) and show that for
two families of knots, the existence of an augmentation of the DGA depends
solely on the value of p.

11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph