Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generating toric noncommutative crepant resolutions   We present an algorithm that finds all toric noncommutative crepant
resolutions of a given toric 3-dimensional Gorenstein singularity. The
algorithm embeds the quivers of these algebras inside a real 3-dimensional
torus such that the relations are homotopy relations. One can project these
embedded quivers down to a 2-dimensional torus to obtain the corresponding
dimer models. We discuss some examples and use the algorithm to show that all
toric noncommutative crepant resolutions of a finite quotient of the conifold
singularity can be obtained by mutating one basic dimer model. We also discuss
how this algorithm might be extended to higher dimensional singularities.

3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn