Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moduli Spaces of Affine Homogeneous Spaces   Apart from global topological problems an affine homogeneous space is locally
described by its curvature, its torsion and a slightly less tangible object
called its connection in a given base point. Using this description of the
local geometry of an affine homogeneous space we construct an algebraic variety
$\mathfrak{M}(\mathfrak{gl}\,V)$, which serves as a coarse moduli space for the
local isometry classes of affine homogeneous spaces of dimension dim V.
Moreover we associate a $\mathrm{Sym}V^*$-comodule to a point in
$\mathfrak{M}(\mathfrak{gl}\,V\,)$ and use its Spencer cohomology in order to
describes the infinitesimal deformations of this point in the true moduli space
$\mathfrak{M}_\infty(\mathfrak{gl}\,V\,)$.

20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org