Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Partial Ordering on Slices of Planar Lagrangians   A collection of simple closed curves in $\rr^3$ is called a negative slice if
it is the intersection of a flat-at-infinity planar Lagrangian surface and
$\{y_2 = a \}$ for some $a < 0$. Examples and non-examples of negative slices
are given. Embedded Lagrange cobordisms define a relation on slices and in some
(and perhaps all) cases this relation defines a partial order. The set of
slices is a commutative monoid and the additive structure has an interesting
relationship with the ordering relation.

9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc