Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Localisation Theorem for rational Cherednik algebra modules   Let $W$ be a complex reflection group of the form $G(l,1,n)$. Following
[BK12, BPW12, Gor06, GS05, GS06, KR08, MN11], the theory of deform quantising
conical symplectic resolutions allows one to study the category of modules for
the spherical Cherednik algebra, $U_\textbf{c}(W)$, via a functor, $\mathbb
T_{\textbf{c},\theta}$, which takes invariant global sections of certain
twisted sheaves on some Nakajima quiver variety $Y_\theta$.
  A parameter for the Cherednik algebra, $\textbf{c}$, is considered `good' if
there exists a choice of GIT parameter $\theta$, such that $\mathbb
T_{\textbf{c},\theta}$ is exact and `bad' otherwise. By calculating the
Kirwan--Ness strata for $\theta=\pm(1,\ldots,1)$ and using criteria of [MN13],
it is shown that the set of all bad parameters is bounded. The criteria are
then used to show that, for the cases $W=\mathfrak S_n, \mu_3, B_2$, all
parameters are good.

25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph