Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homotopy groups of moduli spaces of stable quiver representations   The purpose of this paper is to describe a method for computing homotopy
groups of the space of $\alpha$-stable representations of a quiver with fixed
dimension vector and stability parameter $\alpha$. The main result is that the
homotopy groups of this space are trivial up to a certain dimension, which
depends on the quiver, the choice of dimension vector, and the choice of
parameter. As a corollary we also compute low-dimensional homotopy groups of
the moduli space of $\alpha$-stable representations of the quiver with fixed
dimension vector, and apply the theory to the space of non-degenerate polygons
in three-dimensional Euclidean space.

28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc