Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classes of wiring diagrams and their invariants   Wiring diagrams usually serve as a tool in the study of arrangements of lines
and pseudolines. In this paper we go in the opposite direction, using known
properties of line arrangements to motivate certain equivalence relations and
actions on sets of wiring diagrams, which preserve the incidence lattice and
the fundamental groups of the affine and projective complements of the
diagrams. These actions are used in [GTV] to classify real arrangements of up
to 8 lines and show that in this case, the incidence lattice determines both
the affine and the projective fundamental groups.

35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th